Answer:
y = 1/2x - 8
Explanation:
(4, -6) & (8, -4)
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:
(-4 - (-6)) / (8 - 4)
Simplify the parentheses.
= (2) / (4)
Simplify the fraction.
2/4
= 1/2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 1/2x + 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 (8, -4). Plug in the x and y values into the x and y of the standard equation.
-4 = 1/2(8) + b
To find b, multiply the slope and the input of x(8)
-4 = 4 + b
Now, subtract 4 from both sides to isolate b.
-8 = b
Plug this into your standard equation.
y = 1/2x - 8
This is your equation.
Check this by plugging in the other point you have not checked yet (4, -6).
y = 1/2x - 8
-6 = 1/2(4) - 8
-6 = 2 - 8
-6 = -6
Your equation is correct.
Hope this helps!