Question

A line has a slope of –3 and a y-intercept of 3.

A coordinate plane.

What is the x-intercept of the line?
–9
–1
1
9

Answer 1

To find the x-intercept of a line, we can use the equation of the line in slope-intercept form, which is given by:

\[
y = mx + b
\]

where \(m\) is the slope and \(b\) is the y-intercept. For this line, the slope \(m\) is \(-3\) and the y-intercept \(b\) is \(3\). Thus, the equation of the line is:

\[
y = -3x + 3
\]

To find the x-intercept, we set \(y\) to 0 and solve for \(x\):

\[
0 = -3x + 3
\]

Now, we can solve for \(x\):

\[
-3x = -3
\]
\[
x = 1
\]

Therefore, the x-intercept of the line is \(1\).

The correct answer is \(1\).