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3 years ago

Sketch and write the equation for each line : y = mx +b

Mathematics

1 answer:

snow_lady [41]3 years ago

7 0

Answer:

equation y =7/4x+1

slope = 7/4

Step-by-step explanation:

We have two points so we can find the slope

m =(y2-y1)/ (x2-x1)

= (4--3)/(2--2)

= (4+3) / (2+2)

= 7/4

We know the slope and the y intercept

We can write the equation using y = mx+b where m is the slope and b is the y intercept

y= 7/4x +1

We put at dot at (0,1) and then go up 7 and to the right 4 . We put another dot

Connect the dots and we have our line.

We could also put dots at (-2,-3) and (2,4) and connect the dots.

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I need help with these three

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A. The relationship of <7 and <8 are that they are vertical angles, and are congruent.

B. Since vertical angles are congruent, you can form an equation where the two measurements equal each other.

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y=24 <8 also equals 89

Your second problem:
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x=30 so: <B=30 degrees, <A=60 degrees

Your third problem:
1. Since A and B are parallel, angle 3x+7 and angle 4x+5 are same-sided exterior angles. That means that they both add up to 180 degrees. So if you should add the two and make it equal 180
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7x=168
x=24
3. <6 is a corresponding angle with angle 3x+7, meaning that they are congruent. So plug x into 3x+7: 3*24+7=79 and since <6 is congruent to 3x+7, <6=79 degrees

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Hey there! :)

Answer:

29/28.

Step-by-step explanation:

Starting with:

$\frac{1}{4} + \frac{2}{7} + \frac{1}{2} =$

Begin by finding a common denominator. A number that contains all of the denominators as a factor would be 28. Change each fraction to contain a denominator of 28:

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Add the fractions:

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Therefore, the fractions sum up to 29/28.

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