Find the equation of the line using the point-slope formula. Write the final equ

Question

Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form. perpendicular to 7y x - 4 and passes through the point (-2, 1) If the given equation is converted to y-mx + b form, could the slope be easily identified? Recall that the slope of the i original slope. Can the new linear equation be written using the perpendicular slope and the given point? How can the eq slope-intercept form? Additional Materials ?eBook Finding the Equation of a Line Perpendicular to Another Line Through a Given Point Example Video

Explanation / Answer

1)
slope intercept form is
y = mx + c

the perpendicular line is:
7y = x - 4
y = (1/7)x - 4/7

slope of perpendicular line is 1/7

use:
slope of line * slope of perpendicular line = -1
slope of line * (1/7) = -1
slope of line = -7

It passes through (-2,1)
use:
(y-yo) / (x-xo) = slope
(y-1) / (x+2) = -7
y-1 = -7x - 14
y = -7x + 13

Answer: y = -7x + 13

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