When you're given a point and the slope of a line, it is often easiest to write its equation in
point-slope form.
This is
, where
is the ordered pair for the point you are given and m is the slope.
Here, you would write
. Then, you simplify to get to
slope-intercept form, which is
, where b is the y-intercept.
The correct answer is A.
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
9514 1404 393
Answer:
5 miles
Step-by-step explanation:
Time/speed/distance problems can be worked a number of ways. Here, we want to know the distance walked. We know the total time and the total distance and the two different speeds. So, we can use a variable to represent the value we want to know: w = distance walked (in miles).
The total time is 9:00 -6:50 = 2:10 = 2 1/6 hours = 13/6 hours.
The total time is the sum of times for the two parts of the trip: walking and riding.
walking time = walking distance/walking speed
= w/3
riding time = riding distance/riding speed
= (20-w)/30
The total time is that given above:
w/3 +(20-w)/30 = 13/6
10w +(20 -w) = 65 . . . . . . . . multiply by 30
9w = 45 . . . . . . . . . . . . subtract 20, collect terms
w = 5 . . . . . . . . . . . divide by 9
The girl walked 5 miles.
