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Use the y-and -x intercept to write the equation of the line y intercept (0,6), x intercept (-2,0)

User Poisson
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Answer:

3x -y = -6

Explanation:

You want the equation of the line with intercepts (0, 6) and (-2, 0).

Intercept form

The equation of the line with x-intercept 'a' and y-intercept 'b' is ...

x/a +y/b = 1

For the given intercepts, the equation is ...

x/(-2) +y/6 = 1

Standard form

In standard form, we want the leading coefficient positive and the integer coefficients mutually prime. We can get there by multiplying by -6:

3x -y = -6

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Additional comment

You can get slope-intercept form by solving for y, or you can recognize that ...

slope = rise/run = -(y-intercept)/(x-intercept) = -6/-2 = 3

Since you already know the y-intercept, you can write the slope-intercept equation as ...

y = 3x +6

There are perhaps a dozen or more forms of the equation for a line. The "intercept form" equation is one of the more useful ones.

User Callebe
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