Answer:
y = 1/3 x + 4
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals. The given line is
y = -3x + 7
which is already in the slope-intercept form, y = mx + b, where m is the slope.
The slope of the given line is -3.
The slope of the perpendicular is the negative reciprocal of -3 which is 1/3.
The line we are looking for has an equation of the form
y = 1/3x + b
We need to find b. We use the x- and y-coordinates of the given point as x and y in the equation above, and we solve for b.
y = 1/3x + b
5 = (1/3)(3) + b
5 = 1 + b
4 = b
Now that we know that b = 4, we replace b with 4 in the equation
y = 1/3x + b to get the answer.
Answer: y = 1/3 x + 4
