Question

determine the intercepts for the graph of the linear equation.
$5x + 2y = 10$
enter the x-intercept as an ordered pair.
enter the y-intercept as an ordered pair.
check answer

Explanation:

Step1: Find x-intercept, set $y=0$

Substitute $y=0$ into $5x + 2y = 10$:
$5x + 2(0) = 10$
$5x = 10$
$x = \frac{10}{5} = 2$

Step2: Find y-intercept, set $x=0$

Substitute $x=0$ into $5x + 2y = 10$:
$5(0) + 2y = 10$
$2y = 10$
$y = \frac{10}{2} = 5$

Answer:

x-intercept: $(2, 0)$
y-intercept: $(0, 5)$