Question

given two points (-3,1)(4,-1) are on a line.write an equation in slope intercept form the line

Answer 1

we have the following:

$m=\frac{y_2-y_1}{x_2-x_1}$

replacing,

y2 = -1

y1 = 1

x2 = 4

x1 = -3

$m=\frac{-1-1}{4-(-3)}=--\frac{2}{7}$

therefore:

$\begin{gathered} y=m\cdot x+b \\ -1=-\frac{2}{7}(4)+b \\ b=-1+\frac{8}{7} \\ b=\frac{1}{7} \end{gathered}$

Therefore, the equation is:

$y=-\frac{2}{7}x+\frac{1}{7}$