(10,11) , (15,16)

Slope is equal to the change in y over the change in x, or rise over run.

m=change in ychange in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).

m=y2-y1x2-x1

Substitute in the values of x and y into the equation to find the slope.

m=16-(11)15-(10)

Simplify.

Simplify the numerator.

Multiply -1 by 11.

m=16-1115-(10)

Subtract 11 from 16.

m=515-(10)

m=515-(10)

Simplify the denominator.

Multiply -1 by 10.

m=515-10

Subtract 10 from 15.

m=55

m=55

Divide 5 by 5.

m=1

m=1

m=1

Substitute the value of m into the slope-intercept form of the equation, y=mx+b.

y=(1)⋅x+b

Substitute the value of x into the slope-intercept form of the equation, y=mx+b.

y=(1)⋅(10)+b

Substitute the value of y into the slope-intercept form of the equation, y=mx+b.

11=(1)⋅(10)+b

Rewrite the equation as (1)⋅(10)+b=11.

(1)⋅(10)+b=11

Multiply 10 by 1.

10+b=11

Move all terms not containing b to the right side of the equation.

Subtract 10 from both sides of the equation.

b=11-10

Subtract 10 from 11.

b=1

b=1

b=1

The values of the slope and y-intercept are m=1 and b=1.

m=1

b=1

Find the Slope and Y-Intercept (10,11) , (15,16)