Question

Write an equation of the line that passes through the given point and is perpendicular to the given line.
(2,9),4x+y=3

Answer 1

@MrNood

Answer 2

@dan815 @esshotwired @Walkerman15 @CloverRacer @Crissy15 @Kit_Kat_Nat_<3

Answer 3

@Whiterabbit541 @whydoihavetosignup1 @Technogirl123 @mathmath333

Answer 4

help

Answer 5

Perpendicular lines have negative reciprocals slopes of each other. So, the slope of the equation of the line perpendicular to y=-2x+7 is 1/2.

Now to find the y-intercept, all you have to do is plug in the x and y values of (2,-4). The slope intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=1/2x+b
-4=(1/2)2+b
-4=2/2+b
-4=1+b
-5=b

Thus, the the equation of the line that passes through the given point and is perpendicular to the given line is y=1/2x-5.

y=1/2x-5
y-1/2x=-5

Since, the A has to be positive. Multiply -1 on both sides.
y-1/2x=-5
-y+1/2x=5

Thus, in standard form, it is -y+1/2x=5 .

Hope I helped! :)

Answer 6

thanks

Answer 7

Welcome