Question

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

Answer 1

`"x-intercept "=-2`

Explanation:

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

`•color(white)(x)y=mx+b`

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

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

`rArry=2x+4larrcolor(blue)"is the equation of the line"`

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