Question

Which of the following graphs has a slope of negative three halves and a y-intercept of 3?

Answer 1

Answer given in photo

Step-by-step explanation:

Equation of line is y = mx + c where m is the slope of the line and c is y-intercept, so equation of line in this case is
`y = -(3x)/(2) + 3`

by making y = 0, we get x-intercept

`y = 0\\\implies x = 2`

so x intercept is 2 and y intercept is 3. so the correct choice is

Answer 2

Image 4

Step-by-step explanation:

If the y intercept is 3, then when x = 0, y = 3. This is true in image 3 and 4.

If the slope is -3/2, then the trend is to go down 3, over 2, doing so should keep you on the line. Start at the y intercept on both, go down 3, over 2. You'll notice this only brings you back onto the line in image 4.

Thus the answer is image 4.