Find the equation of the line through (−2, 2) with x-intercept 1.

y = (-2/3)x + 2/3.

Step-by-step explanation:

Let's use the slope-intercept form of the equation of a line, y = mx + b, to find m and b.  We know two points through which the line goes:  (1, 0) and (-2, 2).

The slope of the line is m = rise / run, which here is m = 2/(-3), or m = -2/3.

Substitute 1 for x and 0 for y, as well as -2/3 for m:

0 = (-2/3)(1) + b.  Then b = 2/3, and the desired equation is

y = (-2/3)x + 2/3.

Check:  When y = 0, does x = 1?  YES

answer:

it will cost 480 dollars to refurbish the larger wood floor

step-by-step explanation:

as it's a ratio of 4 that costs 384 dollars, divide the price by the ratio

384 / 4 = 96 dollars

96 dollars per unit of the ratio

now to get the price to refurbish the larger wood floor, times the price by the units

96 * 5 = 480