Question

Find the equation of the line that is parallel to the line y = -3x + 2 and passes through the point (-8 , 1). Write the equation in the point slope form.

Please help !!
(College Algebra)

Answer 1

y - 1 = - 3(x + 8)

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 2 ← is in slope- intercept form

with slope m = - 3

• Parallel lines have equal slopes

the equation ofa line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - 3 and (a, b ) = (- 8, 1 ) , then

y - 1 = - 3( x - (- 8) ) , that is

y - 1 = - 3(x + 8)