Write the equation of the line perpendicular to y = x+ 5 that passes through the point ( -7,3).
1 answer:
Answer:
y = - x - 4
Step-by-step explanation:
A line perpendicular to the line: y = x + 5
must have a slope that is the "opposite of the reciprocal" of the slope of the given line. Then the slope of the perpendicular line must be "-1".
Now that we know the slope of the perpendicular line, we use the point (-7, 3) to complete the equation of the line:
y = -1 x + b
3 = -1 (-7) + b
then we solve for "b":
3 = 7 + b
3 - 7 = b
b = -4
Now we can write the total equation of the perpendicular line in slope-intercept form as:
y = - x - 4
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Answer:
4·10 +4·5 = 6·12 -6·2
Step-by-step explanation:
Each outside factor multiplies each inside term.
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