Question

Write an equation of the line Parallel to the given line that contains point C.C(5,-2); y=-5×+3

Answer 1

y - (-2) = -5 (x - 5)

Step-by-step explanation:

The slope of the equation y = -5x + 3 is -5 because that is the number beside the x.

Now, a parallel line is a line with the same slope, so the slope of our line will be -5.

Then, we can find the equation of a line as:

`y-y_1=m(x-x_1)`

Where (x1, y1) is a point in the line and m is the slope. So, replacing (x1, y1) by (5, -2) and m by -5, we get:

`y-(-2)=-5(x-5)`

Therefore, the answer is y - (-2) = -5 (x - 5)