Answer:
y = 4x - 8
Explanation:
(-1, -12) & (4, 8)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(8 - (-12)) / (4 - (-1))
Simplify the parentheses.
= (8 + 12) / (4 + 1)
= (20) / (5)
Simplify the fraction.
20/5
= 4
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (4, 8). Plug in the x and y values into the x and y of the standard equation.
8 = 4(4) + b
To find b, multiply the slope and the input of x(4)
8 = 16 + b
Now, subtract 16 from both sides to isolate b.
-8 = b
Plug this into your standard equation.
y = 4x - 8
This is your equation.
Check this by plugging in the other point you have not checked yet (-1, -12).
y = 4x - 8
-12 = 4(-1) - 8
-12 = -4 - 8
- 12 = -12
Your equation is correct.
Hope this helps!