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What is the equation of the line perpendicular to y = = x+ 3 passing through the point (-3,4)?
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What is the equation of the line perpendicular to y = = x+ 3 passing through the point (-3,4)?
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Mathematics
4 years
2021-07-29T20:15:40+00:00
2021-07-29T20:15:40+00:00 1 Answers
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Answer:
y = 3x + b
Step-by-step explanation:
The slope of y=mx+3 that passes through (-3,4) is found like this:
1. Substitute the y and x values in (4 = m*(-3) + 3).
2. Simplify by subtracting 3 from each side (1 = m*(-3)).
3. Simplify by dividing each side by -3 (-1/3 = m).
Since the slope of perpendicular lines are negative reciprocals, the slope of the perpendicular line is 3. The y-intercept can be anything and it will still be perpendicular.