If a line has a slope of negative 3 and 2 and has a y-intercept of 3 what is the x intercept of the line

X=-2

Step-by-step explanation:

If the equation in slope-intercept form is y=(3/2)x+3, you have to make y=0. So, you look for the value of x that makes y=0. To do this, just isolate (3/2)x. Since there is a +3 in this equation, (3/2)x has to equal -3 to make y=0. So divide -3 by 1.5 and that leaves you with x=-2. To make sure that your answer is correct, just substitute it for x.

y=(3/2)(-2)+3

y=(1.5)(-2)+3

Multiply 1.5 and -2

y=(-3)+3

y=0

So your x-intercept is -2

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction