Question

How do you write the equation of a line in slope-intercept form when given two points on the line? the two points are (3,-7) and (9,-5)

Answer 1

Answer:

$y = \frac{x}{3} - 8$

Step-by-step explanation:

You use:

y-y1=m (x-x1)

First, find the gradient (m) using

$\frac{y2 - y1}{x2 - x1}$

$\frac{ - 5 - - 7}{9 - 3}$

=2/6

=1/3

Now choose either one of the points to substitute into the point gradient formula. Let's choose (3,-7)

y--7=1/3 (x-3)

y+7=1/3 (x-3)

Rearrange to get y=mx +b

y+7=(x/3)-1

y=(x/3)-8