SOLUTION: Write an equation of the line that passes through (-5, -1) and is parallel to the line y = 4x-6.

Question 1168881: Write an equation of the line that passes through (-5, -1) and is parallel to the line y = 4x-6.
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
If two lines are parallel, they will have the same gradient (slope)
So, gradient (slope) = 4 (from equation y = 4x - 6)
Using the formula y - b = m(x - a) and coords (-5, -1)
y - (-1) = 4(x - (-5)) = y + 1 = 4(x + 5) = y = 4x + 20 - 1
Equation is y = 4x + 19.
Hope this helps :-)
RELATED QUESTIONS
find an equation of the line that passes through (0,2)and is parallel to y=1/4x+6 (answered by meetkisai)

Write an equation of the line that passes through(4,-1) and is parallel to the line... (answered by MathLover1)

write the equation of a line that passes through (1,-3) and is parallel to the line... (answered by friesr)

How do you write an equation of the line that passes through the point (6, 2) and is... (answered by Ave)

write an equation in slope intercept form for the line that passes through (0,5) and is... (answered by mananth,math_tutor2020,josgarithmetic,MathTherapy)

Write an equation for the line that is parallel to the given line and passes through the... (answered by richwmiller,solver91311)

write an equation that describes the line that passes through [-3,1] and is parallel to... (answered by Tatiana_Stebko,nyc_function)

Write an equation of the line that passes through the point P and is parallel to the line (answered by tommyt3rd)