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3 years ago

Write an equation in point-slope form for each line (If possible please show work)

Mathematics

1 answer:

UkoKoshka [18]3 years ago

7 0

Answer:

y - 1 = -1(x + 1)

Step-by-step explanation:

I found where these points were on the graph. The slope of the line is -1. I used the x and y values from the points and the slope to make the equation above.

Take the y-value of one point and subtract it from y. Do the same thing to the x-values.

By the way, I used the second point to make the equation, but either point could have been used.

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WILL PICK BRAINLIEST!!!

andreyandreev [35.5K]

we are given

$f(x)=10(2)^x$

now, we can compare it with

$f(x)=a(b)^x$

we can find b

we get

$b=2$

now, we are given

How would the graph change if the b value in the equation is decreased but remains greater than 1

Let's take

b=1.8

$f(x)=10(1.8)^x$

b=1.6

$f(x)=10(1.6)^x$

b=1.4

$f(x)=10(1.4)^x$

b=1.2

$f(x)=10(1.2)^x$

now, we can draw graph

now, we will verify each options

option-A:

we know that all y-value will begin at y=0

because horizontal asymptote is y=0

so, this is FALSE

option-B:

we can see that

curve is moving upward when b decreases for negative value of x

but it is increasing slowly for negative values of x

so, this is FALSE

option-C:

we can see that

curve is moving upward when b decreases for negative value of x

but it is increasing slowly for negative values of x

so, this is TRUE

option-D:

we know that curves are increasing

so, the value of y will keep increasing as x increases

so, this is TRUE

option-E:

we can see that

curve is moving upward when b decreases for negative value of x

but it is increasing slowly for negative values of x

so, this is FALSE

4 0

3 years ago

Read 2 more answers

Solve for r.<br> -13 = r/9 +8

love history [14]

R/9 = -21
Multiply by 9
r = -189

4 0

2 years ago

Read 2 more answers

Expand and simplify -2(x + 4x^2) + 3(x^2 + 2x)

Vlad1618 [11]

......................

5 0

1 year ago

HELP ME HELP ME please !!! 10 points

USPshnik [31]

Answer:

The slope is $\frac{3}{2}$

The y-intercept is 9

Step-by-step explanation:

The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where

m is the slope of the line whose rule is $m=\frac{y2-y1}{x2-x1}$

b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)

Let us solve the question:

Choose any two-point from the table

∵ The line passes through the points (2, 12) and (4, 15)

∴ x1 = 2 and x2 = 4

∴ y1 = 12 and y2 = 15

→ Use the rule of m to find it

∵ $m=\frac{15-12}{4-2}=\frac{3}{2}$

∴ m = $\frac{3}{2}$

∴ The slope is $\frac{3}{2}$

→ Substitute its value in the form of the equation above

∴ y = $\frac{3}{2}$ x + b

→ To find b substitute x and y by x1 and y1

∴ 12 = $\frac{3}{2}$ (2) + b

∴ 12 = 3 + b

→ Subtract 3 from both sides

∴ 12 -3 = 3 - 3 + b

∴ 9 = b

∴ The y-intercept is 9

6 0

3 years ago

Please help! How many inches is this?

makvit [3.9K]

I’d help but the image isn’t working its all blurry on my end fam sorry

8 0

3 years ago

Read 2 more answers