Question

Write the slope-intercept form of the equation parallel to y = 7x + 2, which passes through the point (1, -3).


A. y = 7x - 10
B. y = -1/7 x + 2
C. y = 7x - 3
D. y = -7x + 10

Answer 1

2 parallel lines have THE SAME SLOPE

Answer 2

so by looking at the y = mx+b point-slope form
from the one above we get that the slope is
\(\large y = \color{red}{7}x+2\)

Answer 3

now to get the slope-intercept form, which is just the expanded version of that, just do

http://www.teachhandson.com/calculationb.gif

Answer 4

you have a point (1, -3), you have the slope, plug them in, solve for "y" :)

Answer 5

Im so confused

Answer 6

ok, since both lines are parallel, the GIVEN one, and the one with the point (1, -3), so both have the same slope. parallel lines have the same slopes

Answer 7

Okay

Answer 8

so by looking at the y = mx+b point-slope form
from the one above we get that the slope is
\(\large y = \color{red}{7}x+2\)

Answer 9

Okay.. But there is no equation above for the answer

Answer 10

so, the slope for the other line, will also be "7", now it has a point (1, -3)
(1, -3)
(x, y)

now plugging those 2 in the point-slope form, we get
$$
(x,y) \implies (\color{red}{1},\color{blue}{-3})\\
y-(\color{blue}{-3})=7(x-\color{red}{1})
$$

Answer 11

now you just need to solve for "y" to get the slope-point intercept form

Answer 12

Would it be B then?

Answer 13

well, what did you get for "y"?