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
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<em>BRAINLIEST</em>
Let y and z be the no. of students that walk to school, that takes the subway and that takes the bus
We have,
3/y = 1/2
=> y = 6 --- (1)
and,
y/z = 1/3
=> y/z = 1/3 [from (1)]
=> z = 18
Hence the no. of students that takes the bus are 18 students
For two ratios to form a proportion they have to be equal.
To see if two ratios are equal we express them in their simplest form.
In this case we notice that in the first ratio both numbers are multiples of five, then:
In the second case we notice that both numbers are multiples of 2, then:
Since both ratios can be simplified to the same final ratio, they form a proportion.
Do you need that rewritten ?
Answer:
y = -3/4x + 3
Step-by-step explanation:
