write an inequality, in slope-intercept form, for the graph below.
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Answer:
y <= 3x - 2
Step-by-step explanation:
The constant is the y intercept, which is (0,-2), so b is -2.
Then, we find the slope by finding the change of y/change of x.
Change of y = 3
Change of x = 1
3/1 = 3
So the m value is 3.
Then, since the shaded region is below the line, we know that the sign is less than.
Finally, the line is solid, so it is less than or equal to.
Since the line is solid and below the graph,hence the required equation will be y ≤ 3x - 2
The standard equation of a line in slope-intercept form is expressed as y = mx + b
where
m is the slope
b is the y-intercept
Given the following coordinate points (1, 1) and (0, -2)
Slope = -2-1/0-1
Slope = -3/-1
Slope = 3
The y-intercept is -2
Determine the required equation
y = mx + b
y =3x + (-2)
y = 3x - 2
Since the line is solid and below the graph,hence the required equation will be y ≤ 3x - 2
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