Answer:
- x-intercept = 17/9 = 1 8/9
- y-intercept = 17/16 = 1 1/16
Explanation:
The x-intercept can be found by setting y=0 and dividing by the coefficient of x.
9x +0 = 17
x = 17/9 . . . . . . x-intercept
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The y-intercept can be found by setting x=0 and dividing by the coefficient of y.
0 +16y = 17
y = 17/16 . . . . . . y-intercept
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I find it easier to graph the equation by plotting points with integer values. A couple of such points on this line can be found by trial and error* (or by other more sophisticated, difficult to explain means). They are (9, -4) and (-7, 5). The attached graph is a graph of this equation along with those two points.
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* You might have to try up to 9 different values for y before you find one that gives an integer value for x. (You're looking for a value of y such that 7y divided by 9 has a remainder of 8.)