Question

Find the equation of the line with slope 2/5 and y-intercept (0,−4).

(Write the equation in standard form.)

Answer 1

Let's first write the equation in y-intercept form and then we can move things around to make it standard form

y-intercept form looks like:
`y = mx + b`

Answer 2

do you know how to write the equation for this problem in y-intercept form?

Answer 3

I don't

Answer 4

ok, so

`b` is equal to the y value of the y intercept coordinate
that is going to be the `-4` from the (0, -4) that they gave us

Answer 5

then `m` represents the slope
and they tell us that the slope is `2/5`

Answer 6

if we plug in
b = -4
and
m = 2/5

into the equation
y = mx + b

what would we get?

Answer 7

y= 2/5x + -4

Answer 8

perfect!

now, we want to rearrange that equation into standard form

standard form is when all of the numbers are whole numbers
and where the x and y values are on the left side of the equals sign

`ax + by = c`
where a, b, and c are whole numbers

Answer 9

ax+-4y=c

Answer 10

mm not quite

y= 2/5x + -4

we taking that equation and moving the 2/5x to the left side

Answer 11

2/5x+=4y=c

Answer 12

-4

Answer 13

-2/5 x + y = -4

then I want you to multiply each part of that equation by `-5` to get rid of the fraction

Answer 14

-2/5 times -5
1 times -5
-4 times -5

Answer 15

2x+-5=20

Answer 16

2x + -5y = 20

perfect! :)

Answer 17

thanks