Question

1. $-2x + 7y = -14$

x-intercept:
y-intercept:

Explanation:

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

Substitute $y=0$ into $-2x + 7y = -14$:
$$-2x + 7(0) = -14$$
$$-2x = -14$$
$$x = \frac{-14}{-2} = 7$$

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

Substitute $x=0$ into $-2x + 7y = -14$:
$$-2(0) + 7y = -14$$
$$7y = -14$$
$$y = \frac{-14}{7} = -2$$

Answer:

x-intercept: $(7, 0)$
y-intercept: $(0, -2)$

(To graph the line, plot these two points and draw a straight line connecting them.)