The x-intercept is where a line crosses the x-axis, and on that axis y is zero — so finding it is one substitution followed by a one-step solve. These free printable worksheets give a line in standard form and ask only for the x-intercept.
Setting y = 0 deletes a whole term. For 3x + 4y = 24 the 4y vanishes, leaving 3x = 24 and x = 8, so the line crosses at (8, 0). Where the combined intercepts sheet asks for either crossing and a child has to keep track of which zero goes where, this page fixes the answer on the x-intercept, so the habit that becomes automatic is the right one: make y zero to find where the line meets the x-axis.
Why this sheet works
That directness is why these are standard-form equations rather than y = mx + b. In slope-intercept form the y-intercept is written in plain sight, so the interesting crossing to solve for is the x one, which is always a division away. Every step-by-step walk here shows the y-term disappearing so the substitution is visible rather than assumed.
How this one works
One question from this sheet, worked through a step at a time.
the x-intercept of x + y = −2
x + y = −2y = 0
x = −2
x = −2
The x-intercept is where the line crosses the x-axis, and there y = 0. Put y = 0 into x + y = −2.
