Question

What is the equation of a line passing through the points (-3, -2) and (2, 0)?

Answer 1

Answer:

$y=0.400x+-0.800$

Step-by-step explanation:

Given the following question:

point A = (-3, -2)
point B = (2, 0)

To write the equation of the line that passes through two points we have to write the points in slope intercept form.

Formula for slope intercept:

$y=mx+b$

M is equal to the slope of the two points, so first we need to fine the slope of the two points.

$(-3,-2)=(x1,y1)$
$(2,0)=(x2,y2)$

$m=\frac{y2-y1}{x2-x1}$
$m=\frac{0--2}{2--3} =\frac{2}{5}$
$m=\frac{2}{5} =0.400$

$y=mx+b$
$y=-2$
$m=0.400$
$x=-3$
$-2=0.400(-3)+b$
$0.400\times-3=-1.20$
$-2+1.2=-0.800$
$b=-0.800$

$y=0.400x+-0.800$

Hope this helps.