Question

A line that passes through the point (–1, 3) has a slope of 2. Find another point on the line

A. (1, 5)
B. (1, 4)
C. (–3, 2)
D. (0, 5)

Answer 1

The answer would be D. If you graphed this line, you would find that one of the y intercept matches choice D. You can also put this into the slope-intercept equation which is y= 2x +5. So if you plug in the point (0,5), it will look like this:
5=2(0)+5. The 2 will be 0 so it ends up being 5=5 which is true for this line.

Answer 2

y-y1=m(x-x1)
for slope=m
a point =(x1,y1)

slope=2
point= (-1,3)
y-3=2(x+1)
y-3=2x+2
y=2x+5
test given points

A.
(1,5)
5=2(1)+5
5=7
false

B.
(1,4)
4=2(1)+5
4=7
false

C.
(-3,2)
2=2(-3)+5
2=-6+5
2=-1
false

D.
(0,5)
5=2(0)+5
5=0+5
5=5
true

answer is D