Question 549382
The x-intercept is the x value for the point where the line intersects the x-axis, which is the line {{{y=0}}}. Just substitute {{{y=0}}} into your equation and solve for x.
The y-intercept is the y value for the point where the line intersects the y-axis, which is the line {{{x=0}}}. Just substitute {{{x=0}}} into your equation and solve for y.
Equation {{{14x + 7y = 21}}} is tailor-made for finding intercepts.
x-intercept: {{{14x+7*0=21}}} ---> {{{x=21/14=3/2}}}
y-intercept: {{{14*0+7y=21}}} ---> {{{y=3}}}
{{{graph(300,300,-1,4,-1,4,3-2x)}}}