Question

What is the slope intercept form for through; (1,-2) parallel to: y=-7x+3

Answer 1

For this equation, we will start will point slope form then translate it into slope intercept form. If the line is parallel to y=-7x+3, then the slope will by -7 because parallel lines have the same slope.
Point slope form:
`y- y_(1) =m(x- x_(1) )`
Will will substitute 1 in for
`x_(1)` any -2 in for
`y_(1)` and -7 in for m.
y+2=-7(x-1)
Distribute -7:
y+2=-7x+7
Subtract 2 from each side.
y=-7x+5