Respuesta :
We know that the slope is -5, so:
y = -5x + b
Input (1, 2)
2 = -5 + b
b = 7
So:
y = -5x + 7
You are using the equation:
y = mx + b
You need to find "m" and "b".
"m" is the slope, "b" is your y-intercept(when x = 0)
For the equation of the line to be parallel to the given equation, the slopes have to be the SAME. The slope of the given line is -5, so the parallel line's slope is also -5. (m = -5)
y = mx + b
y = -5x + b
To find b, you plug in the point (1,2) into the equation
y = -5x + b
2 = -5(1) + b
2 = -5 + b Add 5 on both sides to get "b" by itself
2 + 5 = -5 + b + 5
7 = b
Your equation is:
y = -5x + 7