Question

What is the slope-intercept form of the equation y space minus space 7 space equals space minus 5 over 2 open parentheses x space plus space 4 close parentheses?

Answer 1

y - 7 = -5/2(x + 4)
you need to rearrange this to the form y = mx + b

Answer 2

thats what i dont understand

Answer 3

first add 7 to both sides
then distribute the -5/2 over the parentheses
finally simplify the right side

Answer 4

ok hold on let me d that then see if im correct

Answer 5

is it y=-5/2x - 3?

Answer 6

right!

Answer 7

omg thank you!!!!

Answer 8

yw

Answer 9

-5/2 is the slope of the line and -3 is the intercept on the y-axis

Answer 10

though it is better to write it as
y = (-5/2) x - 3

as it could be interpreted as -5
------
2x - 3

Answer 11

okay thanks! can you help me with another question?

Answer 12

ok 1 more

Answer 13

Which is the equation for the line perpendicular to y space equals space minus 5 over 3 x space plus 11 1 third and containing P(-2, 3)?

Answer 14

y = (-5/3) x + 11 1/3

the slope of this line is -5/3
so the slope of the line perpendicular to it = -1 / (-5/3) = 3/5

Answer 15

so what do i do now?

Answer 16

i'm a bit confused here - the line which is perpendicular contains the point P (-2,3) - right?

Answer 17

yes

Answer 18

ok so we need to use the general form of the point-slope equation

y - y1 = m(x - x1)


where m = slope (3/5) and (x1,y1) = (-2,3)

plus these values into the above formula

Answer 19

(if the slope of a line is m then the slope of a line perpendicular to it is -1/m)

Answer 20

is it 3/5x + 4 1/5 ??

Answer 21

y = (3/5) x + 4 1/5

Yes

Answer 22

omg yay thanks so much!

Answer 23

yw