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,-7); y=-4+4
To find the equation of a line parallel to the given graph, we first need to determine the slope of the given line.
In the equation y = -4x + 4, we can see that the coefficient of x is -4. This is the slope of the line.
Since the line we want is parallel to this line, it will have the same slope.
So the slope of the line we want is -4.
Now we have the slope (-4) and the given point (-5, -7).
Using the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept, we can write:
-7 = -4(-5) + b (Substituting the given x and y values)
-7 = 20 + b (Simplifying)
b = -27 (Solving for b)
Therefore, the equation of the line that passes through the point (-5, -7) and is parallel to the graph of y = -4x + 4 is:
y = -4x - 27