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.
(-5, -3); 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.)
Since the given line is parallel to the desired line, it has the same slope. The slope-intercept form of a line is given by y = mx + b, where m is the slope and b is the y-intercept.
The slope of the given line is -4, so the desired line also has a slope of -4.
We can now plug the point (-5, -3) into the slope-intercept form to find the y-intercept (b):
-3 = -4(-5) + b
-3 = 20 + b
b = -23
Therefore, the equation for the desired line is y = -4x - 23.