Write the equation of the graph in slope-intercept form y=mx+b
1 answer:
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Answer:
<u>900</u> black and white copies are printed.
Step-by-step explanation:
Given:
For every 9 black and white copies printed there are 2 color copies printed.
If there are 200 color copies printed.
Now, to find the number of black and white copies are printed.
Let the number of black and white copies printed be
As given, for every 9 black and white copies printed there are 2 color copies printed.
So, 9 is equivalent to 2.
If there are 200 color copies printed.
Thus, is equivalent to 200.
Now, to solve by using cross multiplication method:
<em>By cross multiplying we get:</em>
<em>Dividing both sides by 2 we get:</em>
Therefore, 900 black and white copies are printed.
Answer:
The equation of the line is y = x + 2
Step-by-step explanation:
The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where
- m is the slope of the line whose rule is
- b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)
Let us solve the question:
∵ The line passes through the points (-3, -2) and (3, 6)
∴ x1 = -3 and x2 = 3
∴ y1 = -2 and y2 = 6
→ Use the rule of m to find it
∵
→ Simplify it by dividing up and down by 2
∴ m =
→ Substitute its value in the form of the equation above
∴ y = x + b
→ To find b substitute x and y by x1 and y1
∴ -2 = (-3) + b
∴ -2 = -4 + b
→ Add 4 to both sides
∴ -2 + 4 = -4 + 4 + b
∴ 2 = b
→ Substitute it in the form of the equation
∴ y = x + 2
∴ The equation of the line is y = x + 2