All categories

3 years ago

What is the y-intercept of the function f(x)=4 – 5x?

2 answers:

8 0

The slope-intercept form of a line is
y=mx+b
where m is the slope
b is the y-intercept

if you convert the function into an equation, then
y=4-5x

rearranging the equation
y=-5x +4
thus
m=-5 and b=4

the y-intercept of the function is 4

julsineya [31]3 years ago

5 0

Answer:

Step-by-step explanation:

You might be interested in

Find the constant of proportionality k. Then write an equation for the relationship between x and y

ExtremeBDS [4]

Question:

Find the constant of proportionality k. Then write an equation for the relationship between x and y

$\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}$

Answer:

(a) $k = 5$

(b) $y = 5x$

Step-by-step explanation:

Given

$\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}$

Solving (a): The constant of proportionality:

Pick any two corresponding x and y values

$(x_1,y_1) = (2,10)$

$(x_2,y_2) = (6,30)$

The constant of proportionality k is:

$k = \frac{y_2 - y_1}{x_2 - x_1}$

$k = \frac{30-10}{6-2}$

$k = \frac{20}{4}$

$k = 5$

Solving (b): The equation

In (a), we have:

$(x_1,y_1) = (2,10)$

k can also be expressed as:

$k = \frac{y- y_1}{x- x_1}$

Substitute values for x1, y1 and k

$5 = \frac{y- 10}{x- 2}$

Cross multiply:

$y - 10 = 5(x - 2)$

Open bracket

$y - 10 = 5x - 10$

Add 10 to both sides

$y - 10 +10= 5x - 10+10$

$y = 5x$

6 0

3 years ago

The points in the table lie on a line. Find the slope of the line. slope:

777dan777 [17]

Answer:

Using the table, the slope is 1/2

4 0

2 years ago

20a+12a-8 simplified

bixtya [17]

That would 32a - 8, Good Luck!

7 0

3 years ago

Read 2 more answers

Help plz I need to solve this

tankabanditka [31]

Answer:

2,5

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

At what position does the ball have its maximum potential energy

Anuta_ua [19.1K]

Potential energy is the energy possessed by an object because of its position.
So it is D the highest point of the trajectory.

7 0

3 years ago

Read 2 more answers