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What is the slope-intercept equation of the line that is perpendicular to y-4=-2/3(x-6) and that passes through (-2, -2)?
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What is the slope-intercept equation of the line that is perpendicular to y-4=-2/3(x-6) and that passes through (-2, -2)?
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Mathematics
3 years
2021-09-04T20:04:42+00:00
2021-09-04T20:04:42+00:00 1 Answers
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Answer:
The slope-intercept equation is:
Step-by-step explanation:
Given the equation
comparing it with the point-slope form of the line equation
where m is the slope
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be: 3/2
The point-slope form of the equation of the perpendicular line that goes through (-2, -2) is:
writing the line equation in the slope-intercept form
subtract 2 from both sides
Thus, the slope-intercept equation is:
Here,
As the slope-intercept form is
where m is the slope and b is the y-intercept
so
m=3/2
b = y-intercept = 1
Therefore, the slope-intercept equation is: