Question

What is an equation of a line that is parallel to y=3x-8 and passes through the point (4,-5)

Answer 1

Any line that is parallel to another line will have the same slope. To find the equation us the formula:

`(y - y_(1)) = m(x - x_(1))`
m = 3

`x_(1) = 4 y_(1) = -5`
( y - -(5)) = 3(x - 4)
y + 5 = 3x - 12
y = 3x - 17
The equation for a line parallel to 3x - 8 and passes through the point (4, -5) is y = 3x - 17.

Answer 2

slope = 3
passing (4,-5)
y = mx + b
-5 = 3(4) + b
-5 = 12 +b
b = -17

equation
y = 3x - 17