2 years ago

Slope is 2 and (3,4) is on the line. solve

Mathematics

1 answer:

pogonyaev2 years ago

8 0

Answer:

Step-by-step explanation:

y-y1 = m(x-x1)

y-4 = 2(x-3)

y-4=2x-6

y= 2x -6+4

y=2x-2

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A line passes through the point (8,9) and has a slope of 3/4

stepan [7]

Answer: $y=\frac{3}{4}x+3$

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. Since we are given slope, we can plug that into m, and use the given point to find the y-intercept.

$y=\frac{3}{4}x+b$ [plug in (8,9)]

$9=\frac{3}{4}(8)+b$ [multiply]

$9=6+b$ [subtract both sides by 6]

$b=3$

Now that we have b, we can complete the equation to $y=\frac{3}{4}x+3$ .

7 0

2 years ago

Select the equation that is the inverse of the given function f(x)=x-3/5

vampirchik [111]

$f(x)=\dfrac{x-3}{5}\to y=\dfrac{x-3}{5}\\\\\text{Interchange the y and the x}\\\\x=\dfrac{y-3}{5}\\\\\text{Solve for y}\\\\\dfrac{y-3}{5}=x\qquad|\cdot5\\\\y-3=5x\qquad|+3\\\\y=5x+3\\\\Answer:\ B.\ f^{-1}(x)=5x+3$