All categories

3 years ago

20 POINTS!!!!!!!!!

1 answer:

3 0

1) the answer is y=3x-2
Explanation: the slope is the number on the left side of x and the y-intercept is on the right side of x.

2) the answer is y=2x+3
Explanation: Henry's slope is the same as Adriana's (2/1). Henry's y-intercept is one lower than Adriana's, so you subtract (4-1=3) - Henry's y-intercept is 3.

You might be interested in

Please help

Firdavs [7]

Answer:

(–10, –2), (6, 6)

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

<u><em>Verify each case</em></u>

case 1) (5, –4), (–2, 1)

substitute in the formula

$m=\frac{1-(-4)}{-2-5}$

$m=\frac{1+4}{-2-5}$

$m=\frac{5}{-7}$

$m=-\frac{5}{7}$ ----> the slope is negative

case 2) (6, –10), (2, 10)

substitute in the formula

$m=\frac{10-(-10)}{2-6}$

$m=\frac{10+10}{2-6}$

$m=\frac{20}{-4}$

$m=-5$ ----> the slope is negative

case 3) (–10, –2), (6, 6)

substitute in the formula

$m=\frac{6-(-2)}{6-(-10)}$

$m=\frac{6+2}{6+10}$

$m=\frac{8}{16}$

$m=0.5$ ----> the slope is positive

case 4) (5, –1), (–6, 6)

substitute in the formula

$m=\frac{6-(-1)}{-6-5}$

$m=\frac{6+1}{-6-5}$

$m=\frac{7}{-11}$

$m=-\frac{7}{11}$ ----> the slope is negative

3 0

2 years ago

The graph of f(x) = 2x + 4 shifts five units to the right when it is replaced with the graph of f(x) = 2x - k. What is the value

DIA [1.3K]

<h2>Answer</h2>

C.) 1

<h2>Explanation </h2>

Remember the rules for shifting functions:

$f(x)+b$ shifts the function b units upward

$f(x)-b$ shifts the function b units downward

$f(x+b)$ shifts the function b units to the left

$f(x-b)$ shifts the function b units to the right

Since we want tho shift $f(x)=2^{x+4}$ 5 units to the right, we are using the rule: $f(x-b)$ shifts the function b units to the right; in other words, we need to subtract 5 units to the input of the function: