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sladkih [1.3K]
2 years ago
9

Find the slope-intercept form of the lines with the following properties.

Mathematics
1 answer:
Vikentia [17]2 years ago
6 0

Hello!

If you want to find an equation that is parallel to another equation, and passing through the point (1, 4), you need to create a new equation with the same slope, you need to substitute the given point into the new equation to find the y-intercept.

m = 3, y = 3x + b (substitute the ordered pair)

4 = 3(1) + b (simplify)

4 = 3 + b (subtract 3 from both sides)

b = 1

Therefore, the line parallel to the line y = 3x - 2 and passing through the point (1, 4) is y = 3x + 1.

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2 years ago
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3 years ago
the sum of the digits of a certain two-digits number is 7.Reversing its digits increases the number by 9.What is the number
rusak2 [61]
Unit digit=y
tens digit=x
the number: 10x+y

We suggest this system of equations:
x+y=7
(10y+x)=(10x+y)+9
we solve it by substitution method.
x=7-y
10y+(7-y)=(10(7-y)+y)+9
9y+7=70-10y+y+9
9y+10y-y=70+9-7
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x=7-y
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solution: the number: 34

To check:
3+4=7
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8 0
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