If the slope of a line is 2 and the y-intercept is 4, what is the x-intercept?

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If the slope of a line is 2 and the y-intercept is 4, what is the x-intercept?

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Answer 1 · 2018-03-25T18:20:08

$x-intercept = - 2$ $"x-intercept "=-2$

Explanation:

$the equation of a line in slope-intercept form$ $"the equation of a line in "color(blue)"slope-intercept form"$ is.

$∙ x y = m x + b$ $•color(white)(x)y=mx+b$

$where m is the slope and b the y-intercept$ $"where m is the slope and b the y-intercept"$

$here m = 2 and b = 4$ $"here "m=2" and "b=4$

$\Rightarrow y = 2 x + 4 \leftarrow is the equation of the line$ $rArry=2x+4larrcolor(blue)"is the equation of the line"$

$When the line crosses the x-axis the corresponding$ $"When the line crosses the x-axis the corresponding"$
$y-coordinate is zero. Substituting y = 0 into the$ $"y-coordinate is zero. Substituting y = 0 into the"$
$equation gives the x-intercept$ $"equation gives the x-intercept"$

$y = 0 \Rightarrow 2 x + 4 = 0 \Rightarrow x = - 2 \leftarrow x-intercept$ $y=0rArr2x+4=0rArrx=-2larrcolor(red)"x-intercept"$
graph{(y-2x-4)((x+2)^2+(y-0)^2-0.04)((x-0)^2+(y-4)^2-0.04)=0 [-10, 10, -5, 5]}

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If the slope of a line is 2 and the y-intercept is 4, what is the x-intercept?

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