Question

Find the y-intercept and x-intercept of the line.
4x+2y=-5

Answer 1

y-intercept :
`\sf (0, -(5)/(2))`

x-intercept :
`\sf (-(5)/(4), 0)`

Explanation:

y-intercept:

The y-intercept of a line is the point where the line crosses the y-axis. This happens when x is zero. To find the y-intercept, set x to zero and solve for y.

`\begin{aligned} 4(0)+2y &= -5 \\\\ 2y &= -5 \\\\ y = -(5)/(2) \end{aligned}`

The y-intercept is therefore
`\sf (0, -(5)/(2))`.

x-intercept:

The x-intercept of a line is the point where the line crosses the x-axis. This happens when y is zero. To find the x-intercept, set y to zero and solve for x.

`\begin{aligned} 4x+2(0) &= -5 \\\\ 4x &= -5 \\\\ x &= -(5)/(4) \end{aligned}`

The x-intercept is therefore
`\sf (-(5)/(4), 0)`.