The x intercept is when the line crosses the x axis the place where the line crosses the x axis is also when y=0 the y intercept is when the line crosses the y axis the place where the line crosses the y axis is also when x=0
so lets say you have the equation in slope-intercept form which is y=mx+b
m=slope b=y-intercept
to find the x intercept, set y to zero and solve to find the y intercept, find b or set x to zero and solve (which cancels out mx and leaves b)
so exg y=3x+4 x intercept=y=0 so 0=3x+4 subtract 4 from both sides -4=3x divide boht sides by 3 -4/3=x intercept
X and Y intercepts are when a function crosses the x or y axis. x-intercepts are at (x-value, 0) and y-intercepts are at (0, y-value).
To find the place where a function crosses the x or y axis, you must plug zero in for the opposit variable. This means plugging in 0 in the equation for y when you try to find x-intercepts and 0 in for x when you try to find y-intercepts, and then solve.