Question

Work out m and c for the line: 5 x − 3 y + 4 = 0

Answer 1

`\rule{200}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}`

Work out m and c for the line 5x-3y+4=0.

`\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}`

We can't determine the slope (m) and the y-intercept (c) yet, so we need

to convert this equation into slope-intercept form
`\bold{y=mx+c}`.

`\dagger` First, subtract 5x and 4 on both sides:-

• -3y=-5x-4

`\dagger` Next, divide by -3 on both sides:-

• y=5/3x+4/3

`\bigstar` A negative divided by a negative is a positive.

`\dagger\dagger` Now finding the slope is a piece of cake; it's just the number next to x:-

• 5/3 = slope (m)

And the y-intercept is:-

• 4/3 = y-intercept (c)

Good luck with your studies.

`\rule{300}{1}`

Answer 2

Explanation:

5x - 3y + 4 = 0

we rearrange it to look like this:

y = mx + c

3y = -4 - 5x

we can also write it like this so it rhymes with the formula

3y = -5x - 4

y = -5x - 4 / 3 (the division sign is dividing all the numbers and not only 4 ).

Soo..

y = -5x/3 -4/3

y = mx. + c

so

m = -5/3

c = -4/3.

Hope this helps.

Good luck ✅.