Answer:
Step-by-step explanation:
<u>Given points </u>
<u>Use slope formula to find the slope</u>
- m = (y2 - y1)/(x2 - x1)
- m = (-7 -5)/(1 + 2) = -12/3 = -4
Slope is -4
The inequality that represents the given graph is y < x/5 -2 OR 5y < x - 10
<h3>Graph of Inequality</h3>
From the question, we are to determine the inequality that represents the graph
First, we will assume the inequality is a straight line and we will determine the equation of the line
From the graph, we have two points on the line
(0, -2) and (5, -1)
Using the formula for the equation of a line with two given point
(y - y₁)/(x -x₁) = (y₂ - y₁)/ (x₂ - x₁)
x₁ = 0
y₁ = -2
x₂ = 5
y₂ = -1
Thus,
(y - -2)/(x - 0) = (-1 - -2)/ (5 - 0)
(y +2)/(x - 0) = (-1 + 2)/ (5 - 0)
(y +2)/(x ) = 1/ 5
5(y + 2) =1(x)
5y + 10 = x
5y = x - 10
y = 1/5(x) - 2
y = x/5 - 2
Now,
Since the solution is below the line and the line is dotted
The inequality becomes
y < x/5 -2
OR
5y < x - 10
Hence, the inequality that represents the given graph is y < x/5 -2 OR 5y < x - 10
Learn more on Graph of Inequality here: brainly.com/question/17106134
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Answer:
13 miles
Step-by-step explanation:
27.50- 1.50(fee)=26.00 26/2(2$per mile)=13 miles
Answer:
y = 50x
Step-by-step explanation:
the equation for this is y = 50x because for every 50 units we go up by on the graph we go 1 unit to the right so:
slope-intercept form: y = mx + b where m is the slope and b is the y-intercept. Our y-intercept is 0 because that is where our line intersects the y-axis and because it is 0 we do not need to put it in the equation.
y = 50x
