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

Answer:

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

Explanation:

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

Slope of a straight line is

$m=\dfrac{Rise}{Run}=\dfrac{\text{Change is y}}{\text{Change in x}}$

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.

$-3=\dfrac{-6}{\text{Change in x}}$

$\text{Change in x}=\dfrac{-6}{-3}$

$\text{Change in x}=2$

Note: All options are incorrect.

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