Question

$-2x + 4y = -10$
(a) find the x-intercept and the y-intercept.
x-intercept: $square$
y-intercept: $square$
(b) use the intercepts to graph the line.

Explanation:

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

Substitute $y=0$ into $-2x+4y=-10$:
$$-2x + 4(0) = -10$$
$$-2x = -10$$
$$x = \frac{-10}{-2} = 5$$

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

Substitute $x=0$ into $-2x+4y=-10$:
$$-2(0) + 4y = -10$$
$$4y = -10$$
$$y = \frac{-10}{4} = -\frac{5}{2} = -2.5$$

Step3: Graph using intercepts

Plot the x-intercept point $(5, 0)$ and y-intercept point $(0, -\frac{5}{2})$ on the coordinate grid, then draw a straight line through these two points.

Answer:

(a)
x-intercept: $5$
y-intercept: $-\frac{5}{2}$ (or $-2.5$)
(b)
Graph: Plot points $(5, 0)$ and $(0, -2.5)$, then draw a line connecting them.