MATH SOLVE

4 months ago

Q:
# . Write an equation of the line that passes through (3, 5) and is perpendicular to the graph of y = β3x +7. Write your final equation in slope-intercept form.

Accepted Solution

A:

Answer: y = x/3 + 4Step-by-step explanation:The equation of a straight line can be represented in the slope intercept form as y = mx + cWhere m represents the slope of the line.c represents the y intercept.The equation of the given line isy = - 3x + 7Comparing with the slope intercept form, slope = - 3If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line. Therefore, the slope of the line passing through (3, 5) is 1/3To determine the y intercept, we would substitute m = 1/3, x = 3 and y = 5 into y = mx + c. It becomes5 = 1/3 Γ 3 + c 5 = 1 + cc = 5 - 1 = 4The equation becomesy = x/3 + 4