Question

Find the equation of a straight line of slope 2,if it passes through the point (3,2)

Answer 1

Answer:

The equation of the line in slope-intercept form becomes

y=−23x+4

Explanation:

The slope intercept form of a line is y=mx+b

For this problem we are given the slope as −23 and a point on the line of (3,2)

m=−23

x=3

y=2

We plug in the values and then solve for the b term which is the

y-intercept.

2=−23(3)+b

2=−2+b

Now isolate the b term.

2+2=−2+2+b

b=4

The equation of the line in slope-intercept form becomes

y=−23x+4