Answer: y = -4x + 1 or y = 1 - 4x
Step-by-step explanation:
First, we have to find the slope of the perpendicular. The slope of the line perpendicular to the other is the <u>reciprocal and opposite value</u> of the other line's slope.
This means that the slope perpendicular to y = 1/4x + 2 is -4, or -4/1.
Now we need to find the y-intercept, to do that we will use the equation y = mx + b. m = slope, b = y-intercept.
Plug in the values.
1 = -4(0) + b
Simplify.
1 = 0 + b
1 = b
Our y-intercept is 1.
Now we can form the slope-intercept equation for the line perpendicular to y = 1/4x + 2 that passes through the point (0, 1).
y = -4x + 1
