To check which function satisfies the graph, substitute the points. Points: $(1, 12)$ is on the graph. Substitute it on the functions given in the options.

Option A: $f(1) = 20 { (\ \frac{3}{5} )\ }^1$

$\implies 4 \times 3 = 12$

Other options do not fit this $(1,12)$ . Hence Option A is our answer.

5 0

3 years ago

What is the equation for the line that passes through the points (-2,1) and (1,-11)

givi [52]

Answer:

y=4x+7

Step-by-step

(-2,1) and (1,-11)

1)Rule you should use is run over rise aka slope

y²-y^1=

x^2-x^1=

(-11)-1=12

1-(-2)=3

12/3=4

slope =4

2)Rule of point slope intercept

y - y1 = m(x - x1)

y+1=4(x+2)

y+1=4x+8

-1 -1

y=4x+7

8 0

2 years ago

Please please help me with this please

ziro4ka [17]

Answer:

y + 20 = 9(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the lie

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 20) and (x₂, y₂ ) = (9, 79)

m = $\frac{79+20}{9+2}$ = $\frac{99}{11}$ = 9

Using (a, b) = (- 2, - 20), then

y - (- 20) = 9(x - (- 2)), that is

y + 20 = 9(x + 2)

4 0

3 years ago