Concept explainers
A city designer is drawing the road map for a new housing development. Palm St. runs through the coordinates (11,5) and (-1,1) on the map. Pepperdine St. is going to run perpendicular to Palm St. The coordinates of Pepperdine St. are (4,7) and (7, y). What is the value of
What is the equation for the line representing Pepperdine St. in slope-intercept form?
To find: The value of y. The equation of the Pepperdine St. in Slope-intercept form.
Answer to Problem 6STP
Explanation of Solution
Given information: The coordinate of Palm St. runs through the coordinates (11,5) and (-1, 1). The Pepperdine St runs through the coordinates of (4,7) and (7,y). The Palm St and Pepperdine St. are perpendicular to each other.
Formula used: Use the slope formula
Calculation:
Find slope of Palm St. using slope formula
Simplify it,
Now, using concept of perpendicular lines the slope of Pepperdine St is negative reciprocal of
So, slope of Pepperdine St.
Simplest form is -3.
Now, using slope formula find slope of Pepperdine St.
Multiply both sides by 3.
Add both 7,
Using equation
Plug in m as -3 and point into the equation to find the value for ‘ b’ .
And use the point (4,7).
Add both sides 12.
So, equation in slope-intercept form is
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