Question

Find the slope and y-intercept of the graph of 5x-4y=20

Answer 1

The equation for a line is
y=mx+c
So rearrange that formula to give that form

Answer 2

thanks :D

Answer 3

m is the gradient or the slope of the curve and to get the y intercept, you just make x=0

Answer 4

how to find the value of m?

Answer 5

So let's first rearrange the formula
5x-4y=20
4y=5x-20
y=5/4x-5

Answer 6

So m=5/4

Answer 7

is this okay? y=5/4x-5

Answer 8

5x is supposed to be negative right?

Answer 9

That's the equation for the line in the form
y=mx+c
So 5/4 is the slope

Answer 10

how did the 20 become negative 5?

Answer 11

You have to rearrange the formula into the form y=mx+c
5x-4y=20
-4y=-5x+20
4y=5x-20
Divide everything by 4 to make 1y instead of 4y
y=5/4x-5

Answer 12

\[y=\frac{ 5 }{ 4 }x-5?\]

Answer 13

Yes

Answer 14

thanks..

Answer 15

Do you understand or do you need further explanation?

Answer 16

you mean divide everything by -4?

Answer 17

For -4y=-5x+20
Yes you do

Answer 18

so the answer will be this way? \[y=\frac{ -5 }{ -4 } x+5\]

Answer 19

No...
When you divide a negative by a negative you will get a positive. So -5/-4 = 5/4
Also 20/-4 will give -5, not positive 5.

Answer 20

You already solved the final answer which was
\[y=\frac{ 5 }{ 4 }x-5\]

Answer 21

oh.. yeah.. i see

Answer 22

sorry..

Answer 23

lol no problem you just need more practice so you can rearrange quicker

Answer 24

can you help me with this too.?

rite an equation of a line that has slope –5 and y-intercept 2.

Answer 25

So the gradient of the line is -5, and when x=0 the y value = 2
y=mx+c (m is the gradient, c is the y intercept)
y=-5x+2

Answer 26

y=-5x+2 is the equation?

Answer 27

thanks sir..

Answer 28

Yes it is and no problem