Question

A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases. Graph g when g(0)=-3 . Identify the slope, y-intercept, and x-intercept of the graph.

Answer 1

Answer:

The slope (m = rate of growth) for this function is 3/5. So, m= 3/5.

The y-intercept (b) for this function is located at (0,3). So, b=3.

Therefore, h(x) = 3/5x + 3

Step-by-step explanation:

Let the independent variable be x and dependent variable be y

y=h(x)

h is a linear function so it is represented in the general form of y=mx+c where

m is slope and c is the y-intercept.

Given "the dependent variable decreases 3 units for every 5 units the independent variable increases."

When x increases by 5, y decreases by 3

So the slope = rate of change of y / rate of change of x = -3/5

Given h(0)=3, h(0)=m(0)+c=3

c=3

Combining slope and y-intercept, y=-3/5*x+3

x-intercept is when y=0

0=-3/5*x+3

3/5*x=3

x=3*5/3=5

x-intercept=5

Answer 2

Answer:

Slope=-2/3,  y-intercept=2, x-intercept=3

Step-by-step explanation:

Let the independent variable be x and dependent variable be y

y=h(x)

h is a linear function so it is represented in the general form of y=mx+c where

m is slope and c is the y-intercept.

Given "the dependent variable decreases 2 units for every 3 units the independent variable increases."

When x increases by 3, y decreases by 2

So the slope = rate of change of y / rate of change of x = -2/3

Given h(0)=2, h(0)=m(0)+c=2

c=2

Combining slope and y-intercept, y=-2/3*x+2

x-intercept is when y=0

0=-2/3*x+2

2/3*x=2

x=2*3/2=3

x-intercept=3

BRAINLIEST