Find an equation for the line with the given properties.

Question

x-intercept = 2; y-intercept = -3. y =

Answer 1

x intercept = 2 means the point (2,0)

y intercept = -3 means the point (0,-3)

a line through them has slope = the difference in y coordinates divided by the corresponding difference in x coordinates, or "rise over run" m= slope = (-3-0)/(0-2) = -3/-2= 3/2 Plot the two points, connect them with a straight line, and it's upward sloping, so m>0

in slope intercept form the line's equation is

y=mx+b with m=3/2 and b =-3

y=(3/2)x -3

or if you want to eliminate fractions, multiply both sides by 2

2y=3x -6

check the answer: plug in the points

(2,0)

2(0) = 3(2)-6

0 = 0

(0,-3)

2(-3) = 3(0)-6

-6 = -6

Answer 2

Using (2, 0) and (0, -3) m = -3/2, b = -3

y = -3x/2 - 3

Is this really a pre-calc question?