Answer:
y = -2x + 9 ( Slope y-intercept form )
Step-by-step explanation:
Step 1:The slope of the given line is m = -2
Step 2: Parallel lines have the same slope, so the slope of the unknown line (m1
) will also be -2. So the parallel line will have a slope of m1 = -2
Step 3: Now we have a point and the slope so we can use point-slope form, which is: y - y0 = m1(x - x0)
m1 = -2
x0 = 4
y0 = 1
After substitution we have:
y - y0 = m1(x - x0)
y - 1 = -2 (x - 4)
y - 1 = -2x + 8
y - 1 + 1 = -2x + 8 + 1
y = -2x + 9 ( Slope y-intercept form )
2x + y - 9 = 0 ( General form )
