Question

Find the missing value using the given slope (0,-4) (x, -7) m=3/2

A) x = -2
B) x = -1
C) x = 1
D) x = 2

Answer 1

To find the missing x-value for the given slope and points, the slope formula is used. By cross-multiplying and dividing, the x-value is found to be -2, making option A) x = -2 the correct answer.

Step-by-step explanation:

To find the missing x-value for the points (0,-4) and (x, -7) with the given slope m = 3/2, you can use the slope formula which is:

m = (y2 - y1) / (x2 - x1)

Since we have m = 3/2, y1 = -4, y2 = -7, and x1 = 0, we can substitute in the values to get:

3/2 = (-7 - (-4)) / (x - 0)

3/2 = (-7 + 4) / x

3/2 = -3 / x

Cross-multiplying gives us:

3x = -6

Divide both sides by 3:

x = -6 / 3

x = -2

So the correct answer is A) x = -2.