Ten less than 3 times a number is the same as that number increased by 4

1 answer:

3 0

3x - 10 = x + 4 <== ur equation

three times a number.....3x...with the x representing the number
ten less....3x - 10
is the same as...means =
that number (x) increased by 4....x + 4
so we have 3x - 10 = x + 4...

3x - 10 = x + 4
3x - x = 4 + 10
2x = 14
x = 14/2
x = 7....and that number is 7

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arsen [322]

Answer:
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Explanation:
The general form of the linear line in slope-intercept form is:
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where:
m is the slope
c is the y-intercept

1- getting the slope:
The slope of the line can be calculated using the following formula:
m = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

We are given the points:
(3,8) representing (x₁,y₁)
(2,3) representing (x₂,y₂)
Substitute with the givens in the above equation to get the slope as follows:
m = $\frac{3-8}{2-3}$ = 5

Therefore, the equation now became:
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2- getting the y-intercept:
To get the value of the c, we will use any of the given points, substitute in the equation we got in part 1 and solve for c. I will use point (2,3) as follows:
y = 5x + c
3 = 5(2) + c
3 = 10 + c
c = 3 - 10
c = -7

Based on the above, the equation of the line is:
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Answer:

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