Question

A line passes through the point
(−2, 7) and has a slope of 8. Write an equation for this line.

Answer 1

Do u want just the answer or do u want to find out how to get this answer?

Answer 2

both please?

Answer 3

Ok are you regular school or online?

Answer 4

online

Answer 5

You want to find the equation for a line that passes through the point (-2,7) and has a slope of 8.
First of all, remember what the equation of a line is:

y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was 8. So you can right away fill in the equation for a line somewhat to read:
y=8x+b.
Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:
(-2,7). When x of the line is -2, y of the line must be 7.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the 8 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-2,7).

So, why not plug in for x the number -2 and for y the number 7? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-2,7). y=mx+b or 7=8 × -2+b, or solving for b: b=7-(8)(-2). b=23.
The equation of the line that passes through the point (-2,7) with a slope of 8
is

y=8x+23

Answer 6

(-2,7). y=mx+b or 7=8 x -2+b, or solving for b: b=7-(8)(-2). b=23.

sorry it showed "?????" before

Answer 7

answer is
y=8x+23

and i've explained the method before

Answer 8

Thank you so much! You saved me big time :p

Answer 9

np :)