How do you find the slope , y intercept, and x intercept of the line y - 3x=7?

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How do you find the slope , y intercept, and x intercept of the line y - 3x=7?

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Answer 1 · 2017-06-29T23:08:28

Slope is 3
y-intercept is 7
x-intercept is -7/3

Explanation:

Get the equation into the form $y = m x + b$ $y=mx+b$ by adding $3 x$ $3x$ to both sides of the equation. You get
$y = 3 x + 7$ $y=3x+7$

The slope is $m$ $m$ , which is the coefficient of $x$ $x$ . In this case, it is $3$ $3$ .

The y-intercept is $b$ $b$ , which is positive 7 in this case. The y-intercept is when $x = 0$ $x=0$ , so you could also substitute that into the equation.

The x-intercept is when $y = 0$ $y=0$ , so use the equation to figure out the x-intercept.

$0 = 3 x + 7$ $0=3x+7$
$- 7 = 3 x$ $-7=3x$
$x = - \frac{7}{3}$ $x=-7/3$

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How do you find the slope , y intercept, and x intercept of the line y - 3x=7?

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