Answer:
y = 3/4x + 6
Step-by-step explanation:
(-4,3) and (-8,0)
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:
(0 - 3) / (-8 - (-4))
Simplify the parentheses.
= (0 - 3) / (-8 + 4)
= (-3) / (-4)
Simplify the fraction.
= -3/-4
= 3/4
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 3/4x + 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 (-8, 0). Plug in the x and y values into the x and y of the standard equation.
0 = 3/4(-8) + b
To find b, multiply the slope and the input of x(#)
0 = -6 + b
Now, add 6 to both sides to isolate b.
6 = b
Plug this into your standard equation.
y = 3/4x + 6
This is your equation.
Check this by plugging in the other point you have not checked yet (-4, 3).
y = 3/4x + 6
3 = 3/4(-4) + 6
3 = -3 + 6
3 = 3
Your equation is correct.
Hope this helps!
