What is an equation of the line that passes through the points (7, -3) and (-8, -3)

Question

Algebra

Answer 1

Hi, Lorelei!

Since the y values are the same for both points, the equation of the line would have to be y = -3.

I hope this helps!

Best, Karen

Answer 2

y=-3

is a line through both points.

just set y = the common y coordinate, -3

It's a flat, horizontal line, with zero slope

if you wanted you could calculate the slope m= (-3- -3)/(-8-7) = 0/15 = 0

then plug that into the slope intercept form of the equation for a line

y=mx+b where m=0

y=(0)x +b = x+b

plug in either point to calculate b

-3 = (0)(7) = b = 0+b

b = -3

y=(0)x -3 in slope interecept form which reduces to

y=-3

or plot the 2 points and connect them with a straight line. Notice the line is flat, horizontal, with zero slope and has a y intercept, b, = -3

y=mx +b

y=(0)x-3

y=-3