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

Question

asked Jun 5, 2023 201k views

2 Answers

Iamgeef · Answer 1 · 2023-06-07T04:54:31+0000

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

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:-

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

$\bigstar$ 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:-

And the y-intercept is:-

$\rule{300}{1}$

Shanequa · Answer 2 · 2023-06-11T05:32:18+0000

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 ✅.