What is the slope and y intercept of $5 x - 3 y = 30$ $5x - 3y = 30$ ?

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What is the slope and y intercept of $5 x - 3 y = 30$ $5x - 3y = 30$ ?

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Answer 1 · 2015-10-04T17:54:27

The slope is $\frac{5}{3}$ $5/3$ .
The y-intercept is $- 10$ $-10$ .

Explanation:

$5 x - 3 y = 30$ $5x-3y=30$ is the standard form for a linear equation. The slope-intercept form is $y = m x + b$ $y=mx+b$ , where $m$ $m$ is the slope, and $b$ $b$ is the y-intercept. To convert from standard form to slope-intercept form, solve the standard form for $y$ $y$ .

$5 x - 3 y = 30$ $5x-3y=30$

Subtract $5 x$ $5x$ from both sides of the equation.

$- 3 y = 30 - 5 x$ $-3y=30-5x$

Divide both sides by $- 3$ $-3$ .

$y = \frac{30}{- 3} - \frac{5 x}{- 3} =$ $y=(30)/(-3)-(5x)/(-3)=$

$y = - 10 + \frac{5}{3} x$ $y=-10+5/3x$

Rearrange the right hand side.

$y = \frac{5}{3} x - 10$ $y=5/3x-10$

$m = \frac{5}{3},$ $m=5/3,$ $b = - 10$ $b=-10$

graph{y=5/3x-10 [-10, 10, -5, 5]}

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What is the slope and y intercept of $5 x - 3 y = 30$ $5x - 3y = 30$ ?

1 Answer

Explanation:

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