Question

find the x - and y - intercepts of the graph of the given equation. -3x + 2y = -1.8 the x - intercept is \square. (type an integer or a decimal.)

Explanation:

Step1: Set $y=0$ for x-intercept

Substitute $y=0$ into $-3x + 2y = -1.8$:
$-3x + 2(0) = -1.8$

Step2: Simplify and solve for $x$

$-3x = -1.8$
$x = \frac{-1.8}{-3} = 0.6$

Step3: Set $x=0$ for y-intercept

Substitute $x=0$ into $-3x + 2y = -1.8$:
$-3(0) + 2y = -1.8$

Step4: Simplify and solve for $y$

$2y = -1.8$
$y = \frac{-1.8}{2} = -0.9$

Answer:

The x-intercept is $0.6$.
The y-intercept is $-0.9$.