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

1 Answer
Mar 25, 2018

Answer:

#"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]}