Question

what is an equation of the line that passes through the points (-4,3) and (-1,6)
A. y=-x-7
B. y=-x-1
C. y=7x+1
D. y=x+7

Answer 1

do you know how to find the slope ?

Answer 2

is it the y2-y1 thing ?

Answer 3

slope(m) = (y2 - y1) / (x2 - x1)
(-4,3) x1 = -4 and y1 = 3
(-1,6) x2 = -1 and y2 = 6
now we sub
slope(m) = (6 - 3) / (-1 - (-4)
m = 3/(-1 + 4)
m = 3/3
m = 1 <-- your slope

understand me so far ?

Answer 4

yes :)

Answer 5

which answer choice is it ?

Answer 6

now we can use y = mx + b, because we know the slope is 1 and we need to find the y intercept, which is b.
y = mx + b
m = 1
(-1,6) x = -1 and y = 6
sub
y = mx + b
6 = 1(-1) + b
6 = -1 + b
6 + 1 = b
7 = b
making your equation : y = x + 7

Answer 7

.thank you so much

Answer 8

no problem :)