The equation of the line that passes through and how did you solve it?

Mathematics

2 answers:

luda_lava [24]3 years ago

8 0

Answer:

Step-by-step explanation:

to find the slope you do the formula

y2-y1 divided by x2-x1. (keep it in fraction form). it doesnt really matter what order you put the points as but keep it consistent

-Dominant- [34]3 years ago

7 0

$\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{-4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-4}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{(-2)}}}\implies \cfrac{-4+7}{-1+2}\implies \cfrac{3}{1}\implies 3$

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{3}[x-\stackrel{x_1}{(-2)}]\implies y+7=3(x+2) \\\\\\ y+7=3x+6\implies y=3x-1$

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The number of members f(x) in Joe's health club increased by 25% every year over a period of x years. The function below shows t

erastovalidia [21]

Solution:

It is given that , number of members f(x) in Joe's health club increased by 25% every year over a period of x years.

The relationship between f(x) and x is given as:

$f(x) = 15(1.25)^x$

Replacing f(x) by y, in the above equation

y= $15(1.25)^x$

To draw the graph without the help of Desmos, find diifferent value of y, for different values of x, For example , for x=1

We get , y= $15(1.25)^1$ = 18.75

For, x=2

y= $15(1.25)^2$ =15 × 1.5625=23.4375

For, x=3

y= $15(1.25)^3$ = 29.296875

So, for different values of x, we get different values of y. Mark these points in the coordinate plane, and join them . You will get the graph of the above function :⇒ f(x)= $15(1.25)^x$

Graph is depicted below.