Answer:
Question #8
Slope = 4
Y-intercept = -11
Equation = y = 4x - 11
Question #9
Slope = -2.43
Y-intercept = -1.72
Equation = y = -2.43x - 1.72
Question #10
Slope = 3.67
Y-intercept = -8.01
Equation = y = 3.67x - 8.01
Step-by-step explanation:
For all of these questions, we will be using the following formula to find the slope:
Slope = (y₂ - y₁) ÷ (x₂ - x₁)
To find the y-intercept, we will then input one of the given points into the equation.
Question #8
(4, 5) and (11, 33)
Slope = (y₂ - y₁) ÷ (x₂ - x₁)
Slope = (33 - 5) ÷ (11 - 4)
Slope = 28 ÷ 7
Slope = 4
y = mx + b
(33) = (4)(11) + b
33 = 44 + b
b = -11
y-intercept = -11
Y = 4x - 11
Question #9
(-4, 8) and (3, -9)
Slope = (y₂ - y₁) ÷ (x₂ - x₁)
Slope = (-9 - 8) ÷ (3 - (-4))
Slope = -17 ÷ 7
Slope = - 2.43
y = mx + b
(8) = (-2.43)(-4) + b
8 = 9.72 + b
b = -1.72
y-intercept = -1.72
Y = -2.43x - 1.72
Question #10
(0, -8) and (3, 3)
Slope = (y₂ - y₁) ÷ (x₂ - x₁)
Slope = (3 - (-8)) ÷ (3 - 0)
Slope = 11 ÷ 3
Slope = 3.67
y = mx + b
(3) = (3.67)(3) + b
3 = 11.01 + b
b = -8.01
y-intercept = -8.01
Y = 3.67x - 8.01
~Hope this helps!~