Question

Write an equation in slope-intercept form of the line that passes through the point (-6,8) and has a slope of 1/2

Answer 1

y = 1/2x+11

Explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 1/2x +b

We can use the point on the line to find b

8 = 1/2(-6) +b

8 = -3+b

Add 3 to each side

8+3 =-3+3 b

11 = b

y = 1/2x+11

Answer 2

Explanation:

Remark

You can get 1/2 the unknown just by looking at the givens. The slope is just given -- no need to modify it.

The y intercept is a little harder. You need the point for that.

Givens

Slope = 1/2

point = (-6,8)

Formula

y = mx + b

Solution

m = 1/2

y = 1/2x + b To find b,

• x = -6
• y = 8

8 = 1/2(-6) + b

8 = -3 + b Add 3 to both sides

8 + 3 = b

b = 11

Answer

y = 1/2x + 11