Find the equation of the line with x- intercept (6,0) and y-intercept (0,4), y=?

1 Answer
Dec 9, 2017

#y=-2/3x+4#

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"#

#"to calculate m use the "color(blue)"gradient formula"#

#color(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))#

#"let "(x_1,y_1)=(6,0)" and "(x_2,y_2)=(0,4)#

#rArrm=(4-0)/(0-6)=4/(-6)=-2/3#

#"using "m=-2/3" and "b=4larr(0,4)#

#rArry=-2/3x+4larrcolor(red)"in slope-intercept form"#