Question

Write an equation is slow intercept form of the line that passes through the given points and its parallel to the graph of the given equation.

(-6,-2) y=2x+1
write an equation for the line and slope intercept form?


plssss help

Answer 1

`\bold{ANSWER:}`
y = 2x + 10


`\bold{SOLUTION:}`

Answer 2

y = 2x + 10

Explanation:

the equation of a line in slope- intercept form is

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

given the line with equation

y = 2x + 1 ← in slope- intercept form

with slope m = 2

• Parallel lines have equal slopes , then

y = 2x + c ← is the partial equation

to find c , substitute the point (- 6, - 2 ) into the partial equation

- 2 = 2(- 6) + c = - 12 + c ( add 12 to both sides )

10 = c

y = 2x + 10 ← equation of parallel line