SOLUTION: Find the equation of the line using the point-slope formula. Write the final equation using slope-intercept form. perpendicular to 7y=x−4 and passes through the point (âˆ

Algebra ->  Graphs -> SOLUTION: Find the equation of the line using the point-slope formula. Write the final equation using slope-intercept form. perpendicular to 7y=x−4 and passes through the point (∠     Log On


   

Question 1189440: Find the equation of the line using the point-slope formula. Write the final equation using slope-intercept form.

perpendicular to 7y=x−4 and passes through the point (−2,2)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the point-slope formula:
y=mx%2Bb where m is a slope and b is y-intercept

given:
desired line is perpendicular to 7y=x-4
and passes through the point (-2,2)
find a slope of the given line:
7y=x-4
y=%281%2F7%29x-4%2F7 => slope is %281%2F7%29
perpendicular line will have a slope negative reciprocal to %281%2F7%29
and it is -1%2F%281%2F7%29=-7
so, the slope of perpendicular line is m=-7
y=-7x%2Bb .........use given point to find b
(-2,2)
2=-7%28-2%29%2Bb
2=14%2Bb
b=2-14
b=-12
so, your equation is
y=-7x-12