How do you graph using the intercepts for $5 x - 3 y = - 33$ $5x - 3y = -33$ ?

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How do you graph using the intercepts for $5 x - 3 y = - 33$ $5x - 3y = -33$ ?

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Answer 1 · 2015-11-05T05:39:41

The x-intercept is $- \frac{33}{5}$ $-33/5$ .

The y-intercept is $11$ $11$ .

Explanation:

$5 x - 3 y = - 33$ $5x-3y=-33$

X-Intercept

The x-intercept is the value of $x$ $x$ when $y$ $y$ is $0$ $0$ .

Substitute $0$ $0$ for $y$ $y$ and solve for $x$ $x$ .

$5 x - 3 (0) = - 33$ $5x-3(0)=-33$

Simplify.

$5 x = - 33$ $5x=-33$

Divide both sides by $5$ $5$ .

$x = - \frac{33}{5}$ $x=-33/5$

The x-intercept is $- \frac{33}{5}$ $-33/5$ , or $- 6 \frac{3}{5}$ $-6 3/5$ . The point is $(- \frac{33}{5}, 0)$ $(-33/5,0)$ .

Y-Intercept

The y-intercept is the value of $y$ $y$ when $x$ $x$ is $0$ $0$ .

Substitute $0$ $0$ for $x$ $x$ and solve for $y$ $y$ .

$5 (0) - 3 y = - 33$ $5(0)-3y=-33$

Simplify.

$- 3 y = - 33$ $-3y=-33$

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

$y = \frac{- 33}{- 3}$ $y=(-33)/(-3)$

Simplify.

$y = 11$ $y=11$

The y-intercept is $11$ $11$ . The point is $(0, 11)$ $(0,11)$ .

Plot the two points and draw a straight line through the points.

graph{5x-3y=-33 [-14.87, 15.14, -1.92, 13.08]}

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How do you graph using the intercepts for $5 x - 3 y = - 33$ $5x - 3y = -33$ ?

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Explanation:

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How do you graph using the intercepts for $5 x - 3 y = - 33$ $5x - 3y = -33$ ?