Question

Help plz will fuve brainiest if correct
Write an equation in slope-intercept form of the line that passes through the given points.

Answer 1

Given:

A line passes through the points (-3,3) and (0,-1).

To find:

The slope intercept form of the line.

Solution:

The slope intercept form of a line is:

$y=mx+b$           ...(i)

Where, m is the slope and b is the y-intercept.

A line passes through the points (-3,3) and (0,-1). So, the slope of the line is:

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

$m=\dfrac{-1-3}{0-(-3)}$

$m=\dfrac{-4}{3}$

The line intersect the y-axis at point (0,-1). So, the y-intercept is -1.

Putting $m=\dfrac{-4}{3},b=-1$ in (i), we get

$y=-\dfrac{4}{3}x+(-1)$

$y=-\dfrac{4}{3}x-1$

Therefore, the slope intercept form of the line is $y=-\dfrac{4}{3}x-1$.