Question

Write an equation in​ slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.

(-6,-2);y=-4x+4

Write an equation for the line in​ slope-intercept form.

​(Simplify your answer. Use integers or fractions for any numbers in the​ equation.)

Answer 1

The equation of the given line is y = -4x + 4. Since we want to find a line that is parallel to this line, the slopes of both lines will be the same.

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

We are given the point (-6,-2) that the line passes through. So, we can substitute x = -6 and y = -2 into the slope-intercept form to find the value of b.

-2 = -4(-6) + b

Simplifying the expression:
-2 = 24 + b
-2 - 24 = b
b = -26

Therefore, the value of b is -26.

The equation for the line in slope-intercept form is y = -4x - 26.