Answer:
y = 1/4x + 7
Explanation:
(-4, 6) and (0, 7)
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:
(7 - 6) / (0 - (-4))
Simplify the parentheses.
= (1) / (0 + 4)
= (1) / (4)
Simplify the fraction.
= 1/4
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 1/4x + 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 (0, 7). Plug in the x and y values into the x and y of the standard equation.
7 = 1/4(0) + b
To find b, multiply the slope and the input of x(0)
7 = 0 + b
Now, isolate b.
7 = b
Plug this into your standard equation.
y = 1/4x + 7
This is your equation.
Check this by plugging in the other point you have not checked yet (-4, 6).
y = 1/4x + 7
6 = 1/4(-4) + 7
6 = -1 + 7
6 = 6
Your equation is correct.
Hope this helps!