Answer:
y = 3/7x + 54/7
Step-by-step explanation:
(not sure what S CAR is)
(-4, 6) & (3, 9)
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:
(9 - 6) / (3 - (-4))
Simplify the parentheses.
= (3) / (3 + 4)
= (3) / (7)
Simplify the fraction.
= 3/7
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 3/7x + 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 (3, 9). Plug in the x and y values into the x and y of the standard equation.
9 = 3/7(3) + b
To find b, multiply the slope and the input of x(3)
9 = 9/7 + b
Now, subtract 9/7 from both sides to isolate b.
9 - 9/7 = b
[convert 9 to have a denominator of 7]
63/7 - 9/7 = b
54/7 = b
Plug this into your standard equation.
y = 3/7x + 54/7
This is your equation.
Check this by plugging in the other point you have not checked yet (-4, 6).
y = 3/7x + 54/7
6 = 3/7(-4) + 54/7
6 = -12/7 + 54/7
6 = 42/7
6 = 6
Your equation is correct.
Hope this helps!
