any quick ways of remembering how to do it?
Another method to try is point-slope form.
y-y_{1}= m (x - x_{1)}
(x_{1}, y_{1) is your point and
m is your slope. }
So input the information you are given into the formula above.
y-(2)= 4(x-(-1))
Then you simplify.
y-2= 4(x+1)
y-2 = 4x+4
And then you solve for y. (In other words, put the equation into
slope-intercept form, y=mx+b. Your slope is
m and your intercept is b)
y = 4x + 6
From this we can see that our slope is 4, and our y-intercept is
(0,6).
CHECKING:
Remember to always check your answer:
To check we take our final answer:
y = 4x + 6
and input our original point, (-1, 2)
2 = 4(-1) + 6
2 = (-4) + 6
2 = 2
So our answer checks!