Question

Find y if the line through (5, 1) and (6, y) has a slope of 3.

Answer 1

Y = 32

Explanation:

Y = mx + c, with a slope of 3

Y = 3x + c

Substitute values:

1 = 3 (5) + c

1 = 15 + c

c = -14

Rewrite formula:

Y = 3x - 14

Y = 3 (6) + 14

Y = 18 + 14

Y = 32

Hope this helps :)

Answer 2

y = 4

Explanation:

y = mx + b is the slope intercept form of a line.

We need an m (slope and a b(y-intercept)

They give us the slope, so we have to find the b

slope = 3

y = 1

x = 5

We need and x and y on the line and the point (5,1) gives us that.

y = mx + b

1 = 3(5) + b

1 = 15 + b Subtract 15 from both sides of the equation

-14 = b

Now we have the m (slope of 3) and the b (the y-intercept of -14)

y = mx + b

y = 3x -14 Now plug is the x (6) from the point given and solve for its y

y = 3(6) -14

y = 18 - 14

y = 4