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Gnoma [55]
3 years ago
7

Please help! Write in y=mx+b

Mathematics
1 answer:
KIM [24]3 years ago
8 0

Answer:

1.  y = 3x -1

2. y = -2x - 2

3.  y = -x - 4

Step-by-step explanation:

we already know the slope of the three lines.

We know that the equation of a line is

y = mx + b

We only need one point.

1. First graph

m = 3

pto (1, 2)

Then the equation is:

y = 3x + b

Now we substitute the point in the equation and clear b.

2 = 3(1) + b

b = -1

Finally the equation is:

y = 3x -1

2. Second graph.

m = -2

pto (-2, 2)

Then the equation is:

y = -2x + b

Now we substitute the point in the equation and clear b.

2 = -2(-2) + b\\b = -2

Finally the equation is:

y = -2x -2

3. Third graphic

m = -1

pto (-1, -3)

Then the equation is:

y = -x + b

Now we substitute the point in the equation and clear b.

-3 = -1(-1) + b

b = -4

Finally the equation is:

y = -x - 4

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Which of the equations below represents a line parallel to the x-axis?
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Answer:

d. y=5

Step-by-step explanation:

The equation of a line parallel to the x-axis will always be in the form y=b, where b is the y-intercept (where on the y-axis the line crosses). So, for y=5, the line crosses the y-axis when y is equal to 5.

The equation of a line parallel to the y-axis will always be in the form x=d, where d is the x-intercept (where on the x-axis the line crosses). So, for option a, x=5, it is a vertical line that crosses the x-axis when x is equal to 5. It is therefore not parallel to the x-axis.

Option b gives an equation that isn't for a linear relation entirely.

Linear equations are typically given in the form y=mx+b, where m is the slope of the line and b is, again, the y-intercept. Option c presents the equation of y=x, and this can be rewritten as y=1x+0. In other words, the slope of the line is 1 and it crosses the y axis when y is equal to 0. Lines that are parallel to the x-axis will always have a slope of 0, so therefore, this line is not parallel to the x-axis.

I hope this helps!

6 0
3 years ago
Pls help being timed and I don’t understand
shepuryov [24]

Answer:

f ( -2 ) = 30

g ( -2 ) = 3

Step-by-step explanation:

when it says f(x) and then has f(-2) - you fill in all x's in the equation with -2.. like this:

f(x) = -7(-2-2) +2                         g(x) = 2(-2)^2 -5

f(x) = -7(-4) +2                             g(x) = 2(4) -5

f(x) = 28 + 2                                g(x) = 8 - 5

f(x) = 30                                      g(x) = 3

hope this helps!!

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