Concept explainers
Open-Ended Write an equation of a line that has a slope of
a.
b. slope-intercept form
a.
To Write: The equation of the line in point-Slope form.
Answer to Problem 14P
Point slope form of a line is
Explanation of Solution
Given information: The line has slope of
Formula used: The point-slope form of a line is
Calculation:
For example let’s take a point (2,3) and for the given slope
Plug in the known values into the formula.
Conclusion: One of the perpendicular lines in Point-Slope form is
b.
To Write: The Slope-intercept form of a line.
Answer to Problem 14P
The slope-intercept form of the line is
Explanation of Solution
Given information: The slope of the line is
Formula used: The slope intercept form of a line is
Calculation:
For example let’s use the same point that used for part A, (2,3).
Slope of the line is
Plug in the known values into the equation
Substitute the point into the equation
Simplify it
Add both sides 1.
Plug in the b value into the equation
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