Give the equation of the line passing through the point

Question

Give the equation of the line passing through the point 

Write your answer in Slope-Intercept Form._______________

Answer 1

Recall the equation for a line is y = mx + b, where m is the slope of the line and b is the point where the line intersects the y-axis (the y-intercept).

If two lines are parallel, that means they have the same slope. Since slope is defined as m, we know that our equation will have m = -4. Now we just have to plug in our point (-6, 23) to solve for b.

23 = (-4)*(-6) + b

23 = 24 + b

-1 = b

Therefore, our equation is y = -4x-1.