Question

What is the equation of the line through (2,3) and (0,-1)\ WILL GIVE BRAINLIEST

Answer 1

Answer:

y=2x−1

Explanation:

First, we need to determine the slope of the line. The formula for determining the slope of a line is:

m=y2−y1x2−x1

where m is the slope and the x and y terms are for the points:

(x1,y1) and (x2,y2)

For this problem the slope is:

m=3−−12−0

m=3+12m=42m=2

Now, selecting one of the points we can use the point slope formula to find the equation.

The point slope formula is:

y−y 1=m(x−x1)

Substituting one of our points gives:

y−1=2(x−0)y+1=2x

Solving for y

to put this in standard form gives:

y+1−1=2x−1

y+0=2x−1

y=2x−1