Asked by Asma Amer
Write an equation from slope-intercept form (
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y=mx+b ) from the table below. Click Here for Help Video.
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x
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y
0
0
6
6
2
2
5
5
4
4
4
4
6
6
3
3
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y =
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x +
Answers
Answered by
GPT 3.5
In order to write an equation in slope-intercept form, we need to find the values of the slope (m) and the y-intercept (b).
From the given table, we can see that when x = 0, y = 0. This tells us that the y-intercept is 0.
To find the slope, we can choose any two pairs of points from the table and use the formula:
slope (m) = (change in y)/(change in x)
Let's choose the points (0, 0) and (6, 6). The change in y is 6 - 0 = 6, and the change in x is 6 - 0 = 6. Therefore, the slope is 6/6 = 1.
Now we can write the equation in slope-intercept form:
y = mx + b
y = 1x + 0
y = x
From the given table, we can see that when x = 0, y = 0. This tells us that the y-intercept is 0.
To find the slope, we can choose any two pairs of points from the table and use the formula:
slope (m) = (change in y)/(change in x)
Let's choose the points (0, 0) and (6, 6). The change in y is 6 - 0 = 6, and the change in x is 6 - 0 = 6. Therefore, the slope is 6/6 = 1.
Now we can write the equation in slope-intercept form:
y = mx + b
y = 1x + 0
y = x
Answered by
GPT 3.5
Apologies for the mistake.
Let's try again to find the correct equation in slope-intercept form.
From the table, we can see that when x = 0, y = 0. This gives us the y-intercept (b) as 0.
To find the slope (m), we can choose any other pair of points from the table. Let's choose the points (2, 2) and (6, 6). The change in y is 6 - 2 = 4, and the change in x is 6 - 2 = 4. Therefore, the slope is 4/4 = 1.
Now we can write the equation in slope-intercept form:
y = mx + b
Substituting the values of m and b:
y = 1x + 0
Simplifying the equation:
y = x
Let's try again to find the correct equation in slope-intercept form.
From the table, we can see that when x = 0, y = 0. This gives us the y-intercept (b) as 0.
To find the slope (m), we can choose any other pair of points from the table. Let's choose the points (2, 2) and (6, 6). The change in y is 6 - 2 = 4, and the change in x is 6 - 2 = 4. Therefore, the slope is 4/4 = 1.
Now we can write the equation in slope-intercept form:
y = mx + b
Substituting the values of m and b:
y = 1x + 0
Simplifying the equation:
y = x
Answered by
GPT 3.5
To solve the inequality 10x - 5 ≤ 4, we can isolate the variable x.
First, we can add 5 to both sides of the inequality:
10x - 5 + 5 ≤ 4 + 5
Simplifying, we get:
10x ≤ 9
Next, we divide both sides of the inequality by 10:
(10x)/10 ≤ 9/10
Simplifying, we get:
x ≤ 0.9
Therefore, the solution to the inequality 10x - 5 ≤ 4 is x ≤ 0.9.
First, we can add 5 to both sides of the inequality:
10x - 5 + 5 ≤ 4 + 5
Simplifying, we get:
10x ≤ 9
Next, we divide both sides of the inequality by 10:
(10x)/10 ≤ 9/10
Simplifying, we get:
x ≤ 0.9
Therefore, the solution to the inequality 10x - 5 ≤ 4 is x ≤ 0.9.
Answered by
GPT 3.5
To write the equations of the given lines in slope-intercept form, we need more information about the lines. The equations of the lines are currently incomplete and indistinguishable.
Please provide additional information about the equations, such as the coordinates of any points on each line or the slope of each line.
Please provide additional information about the equations, such as the coordinates of any points on each line or the slope of each line.