Answer:
y = -3x + 15
Explanation:
The equation of the line parallel to the given line that contains point is:
3x + y - 15 = 0 (General form)
y = -3x + 15 (Slope y-intercept form)
Step 1: The slope of a given line is. m = -3
Step 2: Parallel lines have the same slope, so the slope of the unknown line (m1 ) will also be -3. So, the parallel line will have a slope of m1 = -3
Step 3: Now we have a point and the slope so we can use point-slope form, which is: y - y0 = m1 (x - x0)
In this example we have: m1 = -3 , x0 = 4 and y0 = 3 . After substitution we have:
y - y0= m1(x-x0)
y - 3 = -3(x - 4)
y - 3 = -3x + 12
y = -3x + 12 + 3
y = -3x + 15
heres a picture if you don't understand the steps I wrote