If Nathan scoops 8.5 cups of ice cream in 2 minutes, how many scoops of ice cream can he do in 8 minutes?
2 answers:
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Answer:
The slope-intercept form is
Step-by-step explanation:
To find the slope, use
Replace the x and y values with the points.
Solve.
After that, find the y-intercept form.
Put the equation in point-slope form.
Replace x with 0.
Add 5 to both sides.
Convert to improper fraction form.
The y-intercept is
Now finally, write in slope-intercept form. (y=mx+b)
m is slope, b is the y-intercept.
Answer:
y = 4/5x + 3/5
Step-by-step explanation:
In the slope-intercept form, y = mx + b, we need to find the values of the slope (m) and the y-intercept.
Using points (-7, -5) and (3, 3), we can calculate for the slope of the equation given the formula:
Let (x1, y1) = (-7, -5)
and (x2, y2) = (3, 3).
Plug the given values into the slope formula:
Therefore, the slope of the line is 4/5.
Next, we need to find out the value of the y-intercept (b).
We can use one of the given points, (3, 3), along with the slope (4/5) to solve for the y-intercept:
y = mx + b
3 = 4/5(3) + b
3 = 12/5 + b
Subtract 12/5 from both sides:
3 - 12/5 = 12/5 - 12/5 + b
3/5 (or 0.6) = b
Therefore, the y-intercept is 3/5.
We can now establish our linear equation as:
y = 4/5x + 3/5
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