Question

Write the slope-intercept form of the equation parallel to y = 7x + 2, which passes through the point (1, -3). Explain how please?

Answer 1

y=mx+n is a line eq. m is slope

if the lines are parallel then their slope is the same.
y=7x+2 its slpoe is m=7

its parallel lines has the same slope which is 7

if we know one point and slpoe we can find the eq.

m=(y-y1)/(x-x1)

7=(y-(-3))/(x-1)
7x-7=y+3
y=7x-10

you see second line has the same slope m=7