Answer:
y = (-5/4)x + 12.25
Step-by-step explanation:
Slope intercept form:
y = mx + b
Slope form:
m = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (9 , 1)
(x₂ , y₂) = (5 , 6)
Plug in the corresponding numbers to the corresponding variables.
m = (6 - 1)/(5 - 9)
Simplify.
m = (5)/(-4)
Your slope is -5/4
Plug in -5/4 for m in the slope-intercept form equation, and use a point to solve for b. For example, we will use (9, 1):
y = mx + b
y = (-5/4)x + b
(1) = (-5/4)(9) + b
Simplify.
1 = (-11.25) + b
Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other. Add 11.25 to both sides.
1 + (11.25) = -11.25 (+11.25) + b
1 + 11.25 = b
b = 12.25
your y-intercept is 12.25
Plug in the corresponding numbers to the corresponding variables.
y = mx + b
m = -5/4
b = 12.25
y = (-5/4)x + 12.25 is your answer.
~
