PLEASE HELP I NEED HELP ASAP

Mathematics

1 answer:

Slav-nsk [51]2 years ago

5 0

Answer:

$y=-x+15$

Step-by-step explanation:

Slope-intercept form is written as $y=mx+b$ where $m$ is the slope and $b$ is the y-intercept.

Any line perpendicular to a given line with slope $m$ has a slope of $-\frac{1}{m}$ . Therefore, the slope of a line perpendicular to $y=x+12$ is $-\frac{1}{1}=-1$ .

We can now plug the coordinate it passes through into our slope-intercept form equation to solve for the y-intercept:

$3=-1(12)+b,\\b=15$

Therefore, the equation of the line that is perpendicular to $y=x+12$ and passes through the coordinates $(12,3)$ is $\fbox{$y=-x+15$}$ .

You might be interested in

Exponetial funtion is

r-ruslan [8.4K]

An exponential function in mathematics is an exponential function is a function of the form where b is a positive real number, and in which the argument x occurs as an exponent. So its a function whose value is a constant raised to the power of the argument, especially the function where the constant is e.

4 0

3 years ago

You go to an arcade and purchase a card with game credits. After playing 5 games you have 33 credits left. You play 4 more games

Amanda [17]

Answer:

$y=-3x+48$

Step-by-step explanation:

We will use slope-intercept form of equation to write our equation. The equation of a line in slope-intercept form is: $y=mx+b$ , where m= Slope of the line, b= y-intercept.

To write the equation that represents the number of credits y on the cards after x games, we will find slope of our line.

We have been given that after playing 5 games we have 33 credits left. We play 4 more games and we have 21 credits left. So our points will be (5,33) and (9,21).

Let us substitute coordinates of our both given points in slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$ ,