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Find the x-intercept by setting f(x) = 0.
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12 stepsHere are the intercepts for each function:
Find the x-intercept by setting .
$$ 0 = x - 4 $$ $$ x = 4 $$ The x-intercept is $(4, 0)$.Find the y-intercept by setting .
$$ f(0) = 0 - 4 $$ $$ f(0) = -4 $$ The y-intercept is $(0, -4)$. The intercepts are $\boxed{x\text{-intercept: } (4, 0), y\text{-intercept: } (0, -4)}$.2.
Find the x-intercept by setting .
$$ 0 = 4x + 8 $$ $$ 4x = -8 $$ $$ x = -2 $$ The x-intercept is $(-2, 0)$.Find the y-intercept by setting .
$$ g(0) = 4(0) + 8 $$ $$ g(0) = 8 $$ The y-intercept is $(0, 8)$. The intercepts are $\boxed{x\text{-intercept: } (-2, 0), y\text{-intercept: } (0, 8)}$.3.
Find the x-intercept by setting .
$$ 0 = \frac{3}{5}x - 3 $$ $$ \frac{3}{5}x = 3 $$ $$ 3x = 15 $$ $$ x = 5 $$ The x-intercept is $(5, 0)$.Find the y-intercept by setting .
$$ y = \frac{3}{5}(0) - 3 $$ $$ y = -3 $$ The y-intercept is $(0, -3)$. The intercepts are $\boxed{x\text{-intercept: } (5, 0), y\text{-intercept: } (0, -3)}$.4.
This is a vertical line.
The x-intercept is where the line crosses the x-axis. The x-intercept is $(2, 0)$.The y-intercept is where the line crosses the y-axis.
Since $x=2$ is a vertical line, it is parallel to the y-axis and never crosses it. There is no y-intercept. The intercepts are $\boxed{x\text{-intercept: } (2, 0), \text{no y-intercept}}$.5.
This is a horizontal line.
The x-intercept is where the line crosses the x-axis. Since $y=-3$ is a horizontal line, it is parallel to the x-axis and never crosses it. There is no x-intercept.The y-intercept is where the line crosses the y-axis.
The y-intercept is $(0, -3)$. The intercepts are $\boxed{\text{no x-intercept}, y\text{-intercept: } (0, -3)}$.6.
Find the x-intercept by setting .
$$ 5x - 2(0) = 10 $$ $$ 5x = 10 $$ $$ x = 2 $$ The x-intercept is $(2, 0)$.Find the y-intercept by setting .
$$ 5(0) - 2y = 10 $$ $$ -2y = 10 $$ $$ y = -5 $$ The y-intercept is $(0, -5)$. The intercepts are $\boxed{x\text{-intercept: } (2, 0), y\text{-intercept: } (0, -5)}$.
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