What is the slope and y intercept of the following linear equation:y=1/3×-2

Mathematics

1 answer:

gulaghasi [49]3 years ago

5 0

Answer:

Step-by-step explanation:

The general formula for slope-intercept form is y = mx + b

We can see that m (slope) equals 1/3 here. We can also see that the y-intercept (b) is -2. Another way to find the y intercept is to make x equal to 0. You get 0 - 2 which equals -2

Note:

If youre ever asked for the x-intercept, make y equal to zero and solve for x.

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There are 4 consecutive integers that have a sum of 338. What is the least of these integers?

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Answer:

The least of the four integers is 83.

Step-by-step explanation:

Let x be the first integer.

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In △ABC, CM is the median to AB and side BC is 12 cm long. There is a point P∈ CM and a line AP intersecting BC at point Q. Find

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Answer:

4 cm

Step-by-step explanation:

Draw the line MD that is parallel to AQ. Consider triangles BMD and BAQ. These triangles are similar, because they have three pairs of congruent angles (angles BMD and BAQ are corresponding, angles BDM and BQA are corresponding and angle B is common). The coefficient of similarity is $\dfrac{1}{2},$ because point M is midpoint of AB. Then

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Consider triangles CPQ and CMD. These triangles are similar, because they have three pairs of congruent angles (angles CPQ and CMD are corresponding, angles CQP and CDM are corresponding and angle C is common). The coefficient of similarity is $\dfrac{1}{2},$ because point P is midpoint of CM. Then

$\dfrac{CQ}{CD}=\dfrac{1}{2}\Rightarrow CD=2CQ.$