Question

consider the following linear equation written in standard form.
$5x + 3y = 15$
a) enter the $x$-intercept as an ordered pair or enter none if there is no $x$-intercept.
b) enter the $y$-intercept as an ordered pair or enter none if there is no $y$-intercept.
c) graph the equation by entering the coordinates of two points below.
point 1: (0,0)
point 2: (0,0)

Explanation:

Step1: Find x-intercept, set y=0

Substitute $y=0$ into $5x+3y=15$:
$5x + 3(0) = 15$
$5x = 15$
$x = 3$

Step2: Find y-intercept, set x=0

Substitute $x=0$ into $5x+3y=15$:
$5(0) + 3y = 15$
$3y = 15$
$y = 5$

Step3: Select points for graph

Use the x-intercept and y-intercept as the two points.

Answer:

a) $(3, 0)$
b) $(0, 5)$
c) Point 1: $(3, 0)$
Point 2: $(0, 5)$