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Anna [14]
4 years ago
7

Write the slope-intercept form of the equation of the line through the given points.

Mathematics
2 answers:
Lubov Fominskaja [6]4 years ago
6 0

Answer:

y= -3x + 11

Step-by-step explanation:

Slope formula: y^2- y^1 divide by x^2- x^1

y^2 is -1

y^1 is 5

x^2 is 4

x^1 is 2

-1 - 5 = -6

4 - 2 = 2

-6/2 = - 3

Y-intercept: Using the slope and either of the two points, replace the <em>y</em><em>,</em><em> </em><em>m</em><em>,</em><em> </em>and <em>x</em> in y= mx+b.

Using (2, 5)

5= -3(2) + b

5= -6 + b

Add 6 to both sides in order to eliminate -6.

-6 + 6 = 0

5 + 6 = 11

11 = b

Combine your slope-intercept formula:

y= 3x + 11

VladimirAG [237]4 years ago
6 0
Answer:
Y=3x+11
hope this helps
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Write a two-column proof. Given: 7y = 8x - 14; y = 6. Prove that : x = 7.
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Answer:

Given: 7y =8x-14 , y =6

To prove: x =7

On substituting the value of y =6 in the equation 7y = 8x -14 to solve for x.

7(6)= 8x - 14

or

42 = 8x -14                       ......[1]

Addition Property of equality states that you add the same number to both sides of an equation.

Add 14 to both sides in equation [1];

42+14 =8x -14+14

Simplify:

56 = 8x              

or

8x =56                                 ......[2]

Division Property of equality states that you divide the same number to both sides of an equation.

Divide by 8 to both sides of an equation [2];

\frac{8x}{8} =\frac{56}{8}

Simplify:

x =7                             Hence proved!

A two Column proof:

 Statement                                Reason

1. 7y = 8x -14                                   Given

    y= 6

2. 7(6) = 8x -14                                Substitution property

3.  42+14 = 8x                                  Addition property of equality

4.   56 =8x                                       Simplify

5.    x =7                                           Division Property of equality

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<h3 /><h3>How to find angles involving parallel lines?</h3>

The angle are alternate exterior angles.

Therefore, alternate exterior angle theorem states that when two parallel lines are intersected by a transversal, then the exterior angles formed on either side of the transversal are equal.

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