Ex 9-9 Straight-line depreciation ObJ. 2
1 answer:
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Answer:
- slope: -4/3
- y-intercept: (0, 4)
- x-intercept: (3, 0)
- y = -4/3x +4
Step-by-step explanation:
Given two points, the equation for the line through them can be found using the slope formula and the slope-intercept form.
The slope formula is ...
m = (y2 -y1)/(x2 -x1)
m = (4 -(-4))/(0 -6) = 8/-6 = -4/3 . . . . slope of the line
The y-intercept is 4, given by the second point.
The slope-intercept equation for a line is ...
y = mx +b . . . . . . line with slope m and y-intercept b
y = -4/3x +4 . . . . . line with slope -4/3 and y-intercept 4
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The x-intercept can be found by solving for x when y=0.
0 = -4/3x +4
0 = 4x -12 . . . . multiply by -3
0 = x -3 . . . . . . divide by 4
3 = x . . . . . . . . subtract 3
The x-intercept is (3, 0).
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The line can be graphed by plotting the given points and drawing the line through them.
