Answer:
(0,7)
Step-by-step:
Slope is equal to the change in y over the change in x, or rise over run.
m= Change in y/Change 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-y1/x2-y1
Substitute in the values of x and y into the equation to find the slope.
m= −8−(1)/5-(2)
Simplify the numerator.
Multiply −1 by 1.
m=-8-1/5-(2)
Subtract 1 from -8
m=-9/5-2
Simplify the denominator.
Multiply −1 by 2.
m=-9/5-2
Subtract 2 from 5
m=-9/3
Divide −9 by 3.
m=−3
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(−3)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b
y=(−3)⋅(2)+b
Substitute the value of y into the slope-intercept form of the equation , y=mx+b.
1=(−3)⋅(2)+b
Rewrite the equation as (−3)⋅(2)+b=1.
(−3)⋅(2)+b=1
Multiply −3 by 2.
−6+b=1
Move all terms not containing b to the right side of the equation.
Add 6 to both sides of the equation.
b=1+6
Add 1 and 6.
b=7
List the slope and y-intercept.
Slope:−3
y-intercept: (0,7)
