Question 524148
m = (1-(-1)) / (-2-(-1))
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m = 2 / -1
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m = -2 = slope
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y = -2x + b
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Use one of the points to find 'b'
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1 = -2*(-2) + b
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1 = 4 + b
b = -3
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y-intercept occurs when x=0, which is the point (0,-3).
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The equation in slope-intercept form is:
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y = -2x -3
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x-intercept occurs when y=0, so set y=0 and find x
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0 = -2x -3
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2x = -3
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x = -3/2
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So, the x-intercept = (-3/2, 0).
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A graph is always helpful.
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{{{ graph(500,500,-5,5,-5,5,-2*x-3) }}}