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2 years ago

Write an equation of the line shown.

Mathematics

2 answers:

anzhelika [568]2 years ago

7 0

Y = 2x + 9

2 is the slope which is rise over run or y2 - y1 over x2 - x1

9 Is the y intercept

koban [17]2 years ago

7 0

Answer:

y = -2x + 9

Step-by-step explanation:

So we know that the line is going down, so that means that slope will be negative. Additionally we know that the y-intercept is 9 because that's where the line crosses the y-axis.

To find slope based on the graph, you can start from the left most point and do rise/run until you get to the next point. In this case, you'd start from (0,9) go down 2 units and over to the right 1, so your Slope is -2/1 or just -2.

So it would be written as y = -2x + 9.

Hope this helps :)

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Answer:

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alexandr1967 [171]

x = 37.5 (or) $\frac{75}{2}$

Solution:

Given $\triangle A B C \sim \triangle D B E$

AC = 50, DE = 30, EC = 25, BE = x, BC = 25 + x

To find the value of x:

Property of similar triangles:

If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.

$$\frac{BE}{BC} =\frac{DE}{AC}$

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Do cross multiplication, we get

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Subtract 30x from both sides of the equation.

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Answer:

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