Mathematics

Mathematics

Problem

The xx-intercept of the line represented by y=5x+2y = 5x + 2 is a) (25, 0)\left(\dfrac{2}{5},\,0\right) b) (−25, 0)\left(-\dfrac{2}{5},\,0\right) c) (0,2)(0,2) d) (−52, 0)\left(-\dfrac{5}{2},\,0\right)
Intuitive explanation

To find where a line crosses the xx-axis, remember that every point on the xx-axis has a yy-coordinate of zero. So set y=0y = 0 and solve for xx — this gives you the exact location where the line touches the horizontal axis. It's the opposite process from finding the yy-intercept, where you'd set x=0x = 0 instead.

Intuitive explanation

To find where a line crosses the xx-axis, remember that every point on the xx-axis has a yy-coordinate of zero. So set y=0y = 0 and solve for xx — this gives you the exact location where the line touches the horizontal axis. It's the opposite process from finding the yy-intercept, where you'd set x=0x = 0 instead.

Browse the problem library