What is the slope intercept form of the line passing through (2,-3) with a slope of 3/2 ?

1 Answer
Dec 13, 2015

y=3/2x+13/2

Explanation:

Given:

Point: (2,-3)

Slope: 3/2

You can use the point-slope form: y-y_0=m(x-x_0), where m is the slope and (x_0,y_0) is a point on the line.

Solution:

[1]" "y-y_0=m(x-x_0)

Substitute the point (2,-3) into (x_0,y_0).

[2]" "y-2=m(x+3)

Substitute the slope 3/2 into m.

[3]" "y-2=3/2(x+3)

Isolate y so you can express the line in the slope-intercept form: y=mx+b

[4]" "y=3/2(x+3)+2

Multiply 3/2 to (x+3).

[5]" "y=3/2x+9/2+2

[6]" "y=3/2x+9/2+4/2

[7]" "color(blue)(y=3/2x+13/2)