Question

1. $2x = 5y - 10$

standard form $x$-intercept $y$-intercept
$ax = c$ $by = c$

intercept = ( ) intercept = ( )
graph with x-axis from -5 to 2 and y-axis from -5 to 3, grid lines

Explanation:

Step1: Find x-intercept (set y=0)

Substitute \( y = 0 \) into \( 2x = 5y - 10 \):
\( 2x = 5(0) - 10 \)
\( 2x = -10 \)
\( x = \frac{-10}{2} = -5 \)
So x-intercept is \( (-5, 0) \).

Step2: Find y-intercept (set x=0)

Substitute \( x = 0 \) into \( 2x = 5y - 10 \):
\( 2(0) = 5y - 10 \)
\( 0 = 5y - 10 \)
\( 5y = 10 \)
\( y = \frac{10}{5} = 2 \)
So y-intercept is \( (0, 2) \).

Answer:

x-intercept = \((-5, 0)\)
y-intercept = \((0, 2)\)