Question

If the slope of a straight line is minus3 and if Y​ (the variable on the vertical​ axis) decreases by​ 6, then X​ (the variable on the horizontal​ axis) will:________.

a) decreases by 600b) increases by 10c) increases by 600d) decreases by 10

Answer 1

X​ (the variable on the horizontal​ axis) will increases by 2.

Step-by-step explanation:

The slope of a straight line is -3. So, m=6.

Slope of a straight line is

`m=(Rise)/(Run)=\frac{\text{Change is y}}{\text{Change in x}}`

Y​ (the variable on the vertical​ axis) decreases by​ 6.

Change is y = -6

We need to find the change in ​ (the variable on the horizontal​ axis).

Substitute the given values in the above formula.

`-3=\frac{-6}{\text{Change in x}}`

`\text{Change in x}=(-6)/(-3)`

`\text{Change in x}=2`

Note: All options are incorrect.

Therefore, X​ (the variable on the horizontal​ axis) will increases by 2.