In the coordinate plane, O is the origin. A is a point on the y-axis, and B is is a point on the x-axis. The slope of AB is 2 and its y-intercept is 8. What is the line equation for AB?

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In the coordinate plane, O is the origin. A is a point on the y-axis, and B is is a point on the x-axis. The slope of AB is 2 and its y-intercept is 8. What is the line equation for AB?

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Answer 1 · 2017-08-10T11:29:48

$y = 2 x + 8$ $y = 2x + 8$

Explanation:

Utilise the point-gradient formula to find the equation of the line. Since the y-intercept is 8, that point is $(0, 8)$ $(0, 8)$ . The slope is defined as the 'gradient' or the $m$ $m$ value. Therefore, $m = 2$ $m=2$ . We can substitute in these values.

$y - y_{1} = m (x - x_{1})$ $y - y_1 = m(x-x_1)$

$y - 8 = 2 (x - 0)$ $y - 8 = 2(x - 0)$

$y - 8 = 2 x$ $y - 8 = 2x$

$y = 2 x + 8$ $y = 2x + 8$

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In the coordinate plane, O is the origin. A is a point on the y-axis, and B is is a point on the x-axis. The slope of AB is 2 and its y-intercept is 8. What is the line equation for AB?

1 Answer

Explanation:

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