Answer:
x-int.: (-6, 0); y-int.: (0, -27/2).
Step-by-step explanation:
From this table of values we take two points: (2, -18) and ( 6, -27). Going from (2, -18) to (6, -27), we see that x increases by 4 and y decreases by 9. Thus, the slope is m = rise / run = -9/4.
The equation of the line, in point-slope form, is then y - (-18) = (-9/4)(x - 2). Note that we don't ned (6, -27) again.
This equation simplifies to y + 18 = (-9/4)(x - 2).
x-intercept: Set y = 0 and find x: 0 + 18 = (-9/4)(x - 2). To isolate (x - 2), mult. both sides of this equation by (-4/9):
(-4/9)(18) = (-4/9)(-9/4)(x - 2). Then -8 = x - 2, or x = -6. The x-intercept is then (-6, 0).
y-intercept: Set x = 0 and find y: y + 18 = (-9/4)(0 - 2). This becomes
y = -18 + 9/2, or y = -27/2. The y-intercept is thus (0, -27/2).
