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OleMash [197]
3 years ago
14

What is the equation of the line that passes through the point (1,4) and has a slope of 3

Mathematics
2 answers:
belka [17]3 years ago
8 0
You want to find the equation for a line that passes through the point (1,4) and has a slope of 3.
First of all, remember what the equation of a line is:

y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was 3. So you can right away fill in the equation for a line somewhat to read:
y=3x+b.
Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:
(1,4). When x of the line is 1, y of the line must be 4.
Vesnalui [34]3 years ago
7 0

Answer:

y = 3x + 4

Step-by-step explanation:

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Find the equation of the line passing through the point (–1, 5) and perpendicular to the line y = – 3x + 4.
dsp73

9514 1404 393

Answer:

  A)  3y = x + 16

Step-by-step explanation:

The equation of a perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The constant will be chosen to match the given point.

Swapping coefficients, we get ...

  -3y = x + c

Negating the y-coefficient gives ...

  3y = x + c

Filling in the given point, we have ...

  3(5) = -1 + c

  16 = c

The equation of the perpendicular line can be written as ...

  3y = x + 16 . . . . matches choice A

_____

Note that choice A is the only equation that gives a line with positive slope. The given equation has negative slope, so its perpendicular must have positive slope.

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3 years ago
What is the value of f^-1(-3)?​
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Flip the curve over <em>y</em><em> </em><em>=</em><em> </em><em>x</em><em> </em>then observe what is y when x = -3. You will find that f^{-1}(x)=1.5.

Hope this helps.

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