Question

3. Choose the equation of the line parallel to the line 5 = -10x - 5y that passes through the point (-2,5). A y=-2x + 1 C y=x-5 By=-12x + 5 D y = 5x + 11​

Answer 1

y = -2x + 1

Explanation:

The equation is in standard form, first, we need to convert it to slope-intercept form.

5 = -10x - 5y

5 + 10x = -5y

Divide both sides by -5 to isolate y variable.

y = -2x - 1

If the line is parallel, the slope remains the same.

To find the y-intercept, you need to plug the values of x and y into the equation, which is y = 2x + b

5 = -2(-2) + b

5 = 4 + b

1 = b

The equation is -2x + 1