Find the equation of the line in slope-intercept form that passes through the point (3, –5) and is perpendicular to y = –3x + 4

kasibug1v

kasibug1v

Answered question

2022-09-08

Find the equation of the line in slope-intercept form that passes through the point (3, –5) and is perpendicular to y = –3x + 4

Answer & Explanation

Adelaide Kemp

Adelaide Kemp

Beginner2022-09-09Added 10 answers

y=−3x+4 has a slope of −3 (It is in slope-intercept form)
therefore
any line perpendicular to it has a slope of - 1 - 3 = 1 3
Starting with the slope-point form, with a slope of 1 3 and a point (3,−5)
we have
XXX y - ( - 5 ) = 1 3 ( x - 3 )
XXX y + 5 = 1 3 ( x ) - 1
XXX y = 1 3 x - 6
which is the "slope-intercept" form with slope 1 3 and y-intercept (−6)

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