Question

Choose the slope-intercept equation of the line that passes through the point (-2, 2) and is parallel to y = 4x + 7

Answer 1

is this multiple choice?

Answer 2

yes

Answer 3

can you type out the choices so i can graph them and see which one passes through (-2,2) ?

Answer 4

@jocelynsalcedo :)

Answer 5

y = 4x + 10

y = 1/4x + 5/2

y = -4x - 6

y = -1/4x + 3/2

Answer 6

y = 4x + 7
we know that the slope of a parallel line must be of the form:
y = 4x + b
Next the problem tells us that the parallel line we are looking for goes through the point (-2, 2).
That means that when x = -2 and y = 2, the equation must be true. So we can take our form:
.
y = 4x + b
.
and substitute -2 for x and 2 for y and then find the value of b. Making these two substitutions
for x and y, we transform the equation to:
.
2 = 4*-2 + b
.
The 4*-2 multiplies out to -8 which makes the equation:
2 = -8 + b

10 = b

y = 4x + 10

Answer 7

thanks.

Answer 8

Anytime.