Intercepts of a lineThe x-intercept
Name: Date:
Find the x-intercept of each line.
1x + y = −2x =
25x + 4y = −20x =
3x − 4y = 4x =
48x + 7y = 56x =
55x − 3y = 15x =
6x − 8y = −8x =
74x + y = 4x =
82x − 7y = −14x =
Finding the x-intercept worksheets
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.
If they get stuck
Finding the x-intercept
The answer key prints on a separate page.
What's on this sheet
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 a sheet like this one, worked a step at a time — with a sentence saying what just happened and why.
Finding the x-intercept, step by step