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exis [7]
3 years ago
7

Write the equation of the line with x-intercept 3 and passing through the point (5.4)

Mathematics
1 answer:
kykrilka [37]3 years ago
8 0

Answer: y=(1/5)m+3

Step-by-step explanation:

Start with the standard form of an equation of a straight line:  y=mx+b, whre m is the slope and b the y-intercept (the value of y when x=0).

y=mx+b

We know b (3), so:

y=mx + 3

To find the slope, m, we can use the one given point, (5,4):

y=mx + 3 for (5,4) would be:

4 = m*5+3

1 = 5m

m = (1/5)

y=(1/5)m+3

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Answer:

r = 5y/8

Step-by-step explanation:

isolate the variable by dividing each side by factors that contain the variable.

6 0
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Mark’s brother is five years older than Mark. Their combined ages add up to 23. How old is Mark? Write an equation to help you s
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A line passes through the points (–1, –5) and (4, 5). The point (a, 1) is also on the line.
IgorC [24]

Answer:

a = 2

Step-by-step explanation:

Let's find the equation of the line using the 2 points given.

Let's call -1 as x_1 and -5 as y_1

also, 4 as x_2 and 5 as y_2

The equation of line is :

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

<em>Let's plug the points and get the equation of the line:</em>

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y+5=\frac{5+5}{4+1}(x+1)\\y+5=2(x+1)\\y+5=2x+2\\y=2x-3

Now, to find a, we substitute a in x and 1 in y of the equation of the line we just got:

y=2x-3\\1=2(a)-3\\1=2a-3\\2a=4\\a=\frac{4}{2}=2

4 0
3 years ago
Read 2 more answers
Help please. I need the answer
grandymaker [24]

Answer:

y=-2/3x+6

Step-by-step explanation:

Graph it

6 0
3 years ago
Read 2 more answers
What the length of a diagonal of a square with perimeter of 16
Vladimir79 [104]
A- the length of the side of a square
P = 16

P = 4a → 4a = 16  |:4 → a = 4

The diagonal of the square: d = a√2

therefore d = 4√2


4 0
3 years ago
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