Question

Select the equation of the line in which the x-intercept is 2 and the y-intercept is 8.

Answer 1

y = -4x + 8

Explanation:

According to the Slope-Intercept Formula, y = mx + b, b is the y-intercept, which is shown in the problem. So we know that [0, 8] is part of our answer. Now, m is the rate of change [slope], and to find this, we start from the y-intercept, go 8 blocks south over two blocks east, where the x-intercept is located at [2, 0]. This is what it is called rise\run. Now, -8⁄2 can be simplified, and that is equivalent to -4. This is your slope, and with that, you have this:

y = -4x + 8

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Answer 2

y = - 4x + 8

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (0, 8) ← x and y intercepts

m =
`(8-0)/(0-2)` =
`(8)/(-2)` = - 4

Since the line crosses the y- axis at (0, 8) ⇒ c = 8

y = - 4x + 8 ← equation of line