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mihalych1998 [28]
3 years ago
12

Y - 3 = 2/5(x + 7) what is the slope

Mathematics
1 answer:
Nataly [62]3 years ago
3 0

Answer:

2/5

Step-by-step explanation:

Let's simplify this equation to find the slope. I am going to make this into

y = mx+b form where m is the slope and b is the y-intercept.

y - 3 = 2/5(x+7)

y - 3 = 2/5(x) + 14/5

y = 2/5(x) + (14/5 + 3)

y = 2/5(x) + 29/15

The slope of this equation is 2/5

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3 years ago
Write the equation of line AB in slope-intercept form, given the points A(0,5) and B(-5,-10) . In your final answer, include all
Evgesh-ka [11]

Answer:

y = 3x + 5        

Step-by-step explanation:

1) First, find the slope between the pair of points. Use the slope formula m = \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of points A and B into the formula and simplify:

m = \frac{(-10)-(5)}{(-5)-(0)} \\m  = \frac{-10-5}{-5-0} \\m = \frac{-15}{-5} \\m = 3

So, the slope is 3.

2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.  

3) Using slope-intercept format, represented by the equation y = mx + b, write the equation of the line. Remember that the number in place of m, or the coefficient of the x-term, is the slope. So, substitute 3 for m. Also, remember that b represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer:

y = 3x + 5

7 0
3 years ago
A sixth-grade science club needs $180 to pay for the tickets to a science museum. All tickets cost the same amount. What could "
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Answer:

12

Step-by-step explanation:

180 ÷ 15 = 12

15 can go into 180 , 12 times

15 x 12 = 180

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3 years ago
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