Question

What is an equation of the line that passes through the points (8,0) and (3,-5)?

Answer 1

• (8,0)
• (3,-5)

Slope:-

$\\ \rm\hookrightarrow m=\dfrac{-5}{3-8}=-5/-5=1$

Equation of line in point slope form

$\\ \rm\hookrightarrow y-y_1=m(x-x_1)$

$\\ \rm\hookrightarrow y=x-8$

Answer 2

Recall that the general equation for a line is y=mx+b where m is the slope and b is the y-intercept.
First, let's find the slope by finding
(y2-y1)/(x2-x1):
(-8-0)/(-5-3)
-8/-8
1

Now we know the equation is y=1x+b, or y=x+b.
By plugging in one of the two points we know is on the line, we can solve for b.
0=3+b
b=-3

So the equation is:
y=x-3