Question 1150250
you want the line parallel to y = -3x + 5.


the slope intercept form of the equation of a straight line is:


y = mx + b


m is the slope
b is the y-intercept.


if your line is parallel to the given line, then the slope has to be the same.


the equation of your line becomes:


y = -3x + b


to find the value of b, use a point on the line and replace y with the y-coordinate and x with the x-coordinate.


using the point (-4,5), you will get:


5 = -3 * -4 + b


this becomes 5 = 12 + b


solve for b to get b = -7


your equation becomes y = -3x - 7


the graph of both equations is shown below.


<img src = "http://theo.x10hosting.com/2019/121011.jpg" alt="$$$" >


the given equation of y = -3x + 5 is in red.


the equation of y = -3x - 7, the line parallel to it and passing through the point (-4,5), is in blue.