Answer:
(C) y = 2x + 4
Step-by-step explanation:
(2, 8) and 4, 12)
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:
(12 - 8) / (4 - 2)
Simplify the parentheses.
= (4) / (2)
Simplify the fraction.
4/2
= 2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 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 (4, 12). Plug in the x and y values into the x and y of the standard equation.
12 = 2(4) + b
To find b, multiply the slope and the input of x(4)
12 = 8 + b
Now, subtract 8 from both sides to isolate b.
4 = b
Plug this into your standard equation.
y = 2x + 4
This is your equation.
Check this by plugging in the other point you have not checked yet (2, 8).
y = 2x + 4
8 = 2(2) + 4
8 = 4 + 4
8 = 8
Your equation is correct.
Hope this helps!
Learn with another example here:
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