What is the equation of the line that has a slope of 2 and goes through (1,5)?

1 Answer
Mar 10, 2018

y=2x+3

Explanation:

Use the point-slope formula:

yy1=m(xx1)

Where:

(x1,y1) is a point on the graph

m is the slope

From the information given to us,

(x1,y1)(1,5)

m=2

So...

yy1=m(xx1)

y(5)=2(x(1))

To get into y=mx+b form, all we do is solve for y

y(5)=2(x(1))

y5=2x2

y5+5=2x2+5

y=2x+3

The graph of this is shown below:

graph{2x+3 [-10, 10, -5, 5]}