A line passing through (7, 18) and (8, y) is parallel to a line with slope 13. What is the value of y?

Question

Can someone please explain?

Answer 1

if the lines are parallel they have the same slope.

now you have a slope and a point you can find the equation of the line.

then solve for y when x=8 to get an answer.

13= y-18 / x-7
13x - 91 = y -18
13x - 73 = y


13(8) - 73 = y

y = 104 - 73
y = 31

Answer 2

A line parallel to a line with slope 13 also has slope 13.
(y-18)/(8-7) = 13
y=31

Answer 3

parallel lines have same slopes.Therefore,slope of given line is 13.
Formula for slope is y2-y1 / x2-x1.
substituting y2 as y ,y1 as 18, x2 as 8 and x1 as 7,
we get, y-18/8-7=13.
therefore,y =31.
Hope I helped.
Good ques. btw.

Answer 4

you are given the slope which = change in rise over change in the run.

m = (y2-y1)/(x2-x1)

you are given everything except y2

m = 13
x1 = 7
x2 = 8
y1 = 18

you can rearrange your equation to get y2 (what you are looking for) alone on the left side of the equation.

(y2-y1) = m (x2-x1)

y2 = m (x2-x1) +y1

plug your numbers into the equation

y2 = 13 *(8-7) + 18

y2 = 31

You can check by putting all of your nubers back into the original equation.

m = (y2-y1)/(x2-x1)

13 = (31-18)/(8-7)

yes, it checks

Good Luck

Answer 5

since,slope=y2-y1/x2-x1
13=y-18/8-7
on solving y=31

Answer 6

(7,18) and (8,y)
m = (y - 18)/(8 - 7)
m = y - 18

13 = y - 18
y = 31