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dsp73
3 years ago
7

Graph the lines by finding the points of intersection with the axes (intercepts):

Mathematics
1 answer:
saul85 [17]3 years ago
3 0

The equation is in slope-intercept form, so you can read the equation to find the y-intercept is (0, -1).

Since the slope is -1/2, the graph goes <em>up</em> 1 unit for each 2 units to the <em>left</em>. The x-axis is up 1 unit from the y-intercept, so the x-intercept is 2 units to the left of x=0, at (-2, 0).

The graph is the line that goes through the points (0, -1) and (-2, 0).

_____

If you like, you can put the equation into intercept form, which shows you both the x- and y-intercepts at once. That form is ...

... x/a + y/b = 1

where <em>a</em> and <em>b</em> are the x- and y-intercepts.

If we add 1-y to the given equation, we have ...

... 1 = (-1/2)x - y

... 1 = x/(-2) + y/(-1) . . . . intercept form

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