How do you write an equation in slope intercept form given a slope and a x-intercept?

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How do you write an equation in slope intercept form given a slope and a x-intercept?

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Answer 1 · 2014-12-22T17:08:27

What is x-intercept? It is such an argument (x-value) where y-value equals 0. In equations you would tell that it is root of the equation.

In general formula $y = mx+b$ you insert known information, where $m$ is a slope (or gradient) and $b$ is free-term (or y-intercept - such an value where function cuts y-axis, so point (0, b) ).

Let us take example. You are given slope - it is 2. And you know that your x-intercept is equal 3. Therefore, you know that when $x = 3$ , $y=0$ .

Let us use that information. You know that you may write every linear function like that: $y = mx+b$ .
Let us insert values: $0 = 2*3+b$
Our unknown is $b$ , free term. Let us isolate it:
$b=-6$ .
And after all, we must insert our $b$ value back into equation: $y = 2x - 6$ .

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How do you write an equation in slope intercept form given a slope and a x-intercept?

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