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3 years ago

Write equation for the line in slope intercept form (6,4) and (3,8)

Mathematics

1 answer:

nikdorinn [45]3 years ago

5 0

Answer: y = - 4x/3 + 12

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = y intercept

m represents the slope of the line.

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

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (6, 4) and (3, 8),

y2 = 8

y1 = 4

x2 = 3

x1 = 6

Slope,m = (8 - 4)/(3 - 6) = 4/- 3 = - 4/3

To determine the y intercept, we would substitute x = 3, y = 8 and m= - 4/3 into y = mx + c. It becomes

8 = - 4/3 × 3 + c

8 = - 4 + c

c = 8 + 4

c = 12

The equation becomes

y = - 4x/3 + 12

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2 years ago

Kim and Sam were each given the same pair of numbers. Sam's description of the two numbers was: The larger number is 3 more than

irina1246 [14]

Answer:

Sam's description = $3x+3$ , Kim's description = $5x-7$

Step-by-step explanation:

Given:

Kim and Sam were each given the same pair of numbers.

Sam's description of the two numbers was:

The larger number is 3 more than three times the smaller number.

Kim's description of the two numbers was:

Five times the smaller number decreased by 7 is the larger number.

Question asked:

Which equation represents the situation?

Solution:

Let smaller number = $x$

According to Sam's description of the two numbers, the equation will be:-

Larger number = 3 more than three times the smaller number

= $3x+3\ (eq1)$

According to Kim's description of the two numbers was, the equation will be:-

Larger number = Five times decreased by 7

= $5x-7\ (eq2)$

By equating both equation:-

$5x-7=3x+3\\ \\ Subtracting\ both\ sides\ by \ 3x\\ \\ 5x-3x-7=3x-3x+3\\ \\ 2x-7=3\\ \\ Adding\ both\ sides\ by\ 7\\ \\ 2x-7+7=3+7\\ \\ 2x=10\\ \\ Dividing\ both\ sides\ by\ 2\\ \\ x=5$

Smaller number = $x$ = 5

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Therefore, equations represents the situation are $3x+3$ and $5x-7$

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notka56 [123]

Answer:

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Step-by-step explanation:

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