This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. something like this. This is the line, this is the line, y is equal to 2x plus three. But we already figured out

The equation of a straight line which is of the form y = mx + b, is called the slope intercept form. Here 'm' is the slope of the line and 'b' is the point at which the line intercepts the y - axis. An example for slope intercept form equation is y = 3x + 5 What is a Line With a Negative Slope? In the equation y = mx + c, the coefficient of x represents the gradient of the line. This gradient of the line is the 'm' value, in the equation y = mx + c. The value of m can be calculated from the angle which this line makes with the x-axis or a line parallel to the x-axis. What is 'c' In The Equation of the Line y = mx + c? color right over here. Our line is going to look like, is going to look, is going to look something like, is going to look, let me see if I can, I didn't draw it completely at scale, but it's going to look went to negative one, then what's our y going to be? Two times negative one is negative two plus three is one. So we see that, the pointApplying, m =2 and b = 1 in the equation of the line(y = mx + b), we get y = 2x + 1 Thus the equation of the straight line is y = 2x + 1 Similarly, if a ≠ 0, the line is the graph of a function of y, and, if a = 0, one has a horizontal line of equation y = − c b . {\displaystyle y=-{\frac {c}{b}}.} Equation of a line [ edit ]

an infinite number of ways. I could, let's see, I could subtract 2x from both sides, I could write this as negative 2x plus y is equal to three. I could manipulate it in Feature 1 3FMO_A 213 n - - - - - g T V V Q Y L P t - - - - - - - - - - - - - - - - - - - l Q E k K V I P c p p f y e - - - - - s d h p v r V L D V L W I g t - - - - - y V F A I V Y 258 human 1JV2_A 245 r a a r t l g M V Y I Y D G k n - - - - - - - - - - - - - - - - - - m S S l Y N F T g e q m - - - - - - - - - a a y f G F S V A A T d i n g d d y a D V F I G A 297 human 1K8K_C 163 d - - - - - f K C R I F S A y i k e v e e r p a p t p w g s k m p f g E L m F E S S s s c - - - - - - - - - - - - g w V H G V C F S a n - - - - g s R V A W V S 221 cow 1PEV_A 169 d - - - - - n T V A I F E G p p - - - - - - - - - - - - - - - - - - f K F k S T F G e h t - - - - - - - - - - - - k f V H S V R Y N p d - - - - g s L F A S T G 209 nematode 1S4U_X 216 n - - - - - g T V Q I S E L s t - - - - - - - - - - - - - - - - - - l R P l Y N F E s q h s m i - - - - - - n n s n s I R S V K F S p q - - - - g s L L A I A H 262 baker's yeast 1YFQ_A 169 n - - - - - s Q V Q W F R L p l c - - - - - - - - - - - - - - - e d d N G - T I E E s g l - - - - - - - - - - - k y q I R D V A L L p k e - - - q e G Y A C S S 213 baker's yeast 2B4E_A 197 d - - - - - k R V R V I E P r k - - - - - - - - - - - - - - - - - - g T V v A E K D r p h e - - - - - - - - - - g t r P V H A V F V s e - - - - - g K I L T T G 238 house mouse 3ACP_A 265 s - - - - - g V I T V H N V f s - - - - - - - - - - - - - - - - - - k E Q t I Q L P s k f - - - - - - - - - - - t c s C N S L T V D g n n - - - a n Y I Y A G Y 307 baker's yeast 3DW8_B 248 k - - - - - g T I R L C D M r a s a - - - - - - - - - - - - - l c d r H S - K L F E e p e d p s n r s f f s e i i s s I S D V K F S h s - - - - g r Y M M T R D 304 Norway rat 3GRE_A 235 r - - - - - g I I D I W D I r f - - - - - - - - - - - - - - - - - - n V L i R S W S f g d - - - - - - - - - - - h a p I T H V E V C q f y - - g k n S V I V V G 278 baker's yeast If the slope 'm' and y-intercept 'b' are given, then the equation of the straight line can be written in the form of 'y = mx +b'. For example, if the slope(m) for a line is 2 and the y-intercept 'b' is -1, then the equation of the straight line is written as y = 2x - 1. The slope value can be positive or negative.As we discussed in the earlier sections, in y = mx + b, 'm' represents the slope of the equation. To find the slope of a line,given its equation, we have to rearrange its terms to the slope-intercept form y = mx + b. Here, 'm' gives the slope and 'b' gives the y-intercept of the equation. x j = − b a j − ∑ i ∈ { 1 , … , n } , i ≠ j a i a j x i . {\displaystyle x_{j}=-{\frac {b}{a_{j}}}-\sum _{i\in \{1,\ldots ,n\},i\neq j}{\frac {a_{i}}{a_{j}}}x_{i}.}

The equation ( x 2 − x 1 ) ( y − y 1 ) − ( y 2 − y 1 ) ( x − x 1 ) = 0 {\displaystyle (x_{2}-x_{1})(y-y_{1})-(y_{2}-y_{1})(x-x_{1})=0} is the result of expanding the determinant in the equation Substituting the values of y 1 and y 2, we get\[\begin{align}\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}&= \dfrac{(mx_{2}+b) - (mx_{1}+b)}{x_{2}-x_{1}}\\\\&=\dfrac{mx_{2}-mx_{1}}{x_{2}-x_{1}}\\\\&= \dfrac{m(x_{2}-x_{1})}{x_{2}-x_{1}}\\\\ &=m\end{align}\] bit better than that. It's 'cus my graph paper is hand drawn. It's not ideal, but I think you get, you get the point. It's gonna look something like that. So from slope-intercept form, very easy to figure out

Different Countries teach different "notation" (as sent to me by kind readers): In the US, Australia, Canada, Eritrea, Iran, Mexico, Portugal, Philippines and Saudi Arabia the notation is:Thus we are able to successfully derive the equation y = mx + c, using the point-slope form of the equation of a line. when x is equal to zero and y equals three, this is, we're right on the y axis. If they have a line going