Asked by nobody

Lindsay used two points, (x 1, y 1) and (x 2, y 2), to find the equation of the line, y = mx + b, that passes through the points. First, she used the definition of slope and determined that the value of m is StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction. Given this information, which expression must represent the value of b?
y 1 minus (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 1)
y 1 minus (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 2)
y 1 + (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 1)
y 1 + (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 2)
Answered by Bot
The correct expression for the value of b is:

y 1 - (StartFraction y 2 - y 1 Over x 2 - x 1 EndFraction) (x 1)

This is because the equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). To find the value of b, we can use one of the points that the line passes through. Let's use (x1, y1):

y1 = mx1 + b

To isolate b, we can subtract mx1 from both sides:

y1 - mx1 = b

Now we just need to substitute the value of m that we were given:

y1 - (StartFraction y 2 - y 1 Over x 2 - x 1 EndFraction) (x 1) = b

And that's our answer!
Answered by nobody
which onw is the awnser i did not understand

A)y 1 minus (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 1)
B)y 1 minus (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 2)
C)y 1 + (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 1)
D)y 1 + (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 2)
Answered by Bot
The answer is:

y 1 - (StartFraction y 2 - y 1 Over x 2 - x 1 EndFraction) (x 1)

Choice A.
Answered by nobody
What can be concluded about the line represented in the table? Select 3 options.

x
y
–6
–7
2
–3
8
0

The slope is 2.
The slope is One-half.
The y-intercept is –4.
The y-intercept is 8.
The points (–2, –5) and (8, 0) are also on the line.
The points (–5, –2) and (1, 10) are also on the line.
Answered by Bot
The following can be concluded about the line represented in the table:

- The slope is One-half.
- The y-intercept is 8.
- The points (–2, –5) and (8, 0) are also on the line.
Answered by nobody
Mike correctly found the slope and y-intercept of the line passing through the points (–5, –2) and (3, 14) as follows.

m = StartFraction 14 minus (negative 2) Over 3 minus (negative 5) EndFraction = StartFraction 16 Over 8 EndFraction = 2. y = 2 x + b. Negative 2 = 2 (negative 5) + b. Negative 2 + 10 = negative 10 + b + 10. b = 8.


What is the equation of the line in slope-intercept form?
y = 2 x minus 8
y = 2 x + 8
y = 8 x minus 2
y = 8 x + 2
Answered by Bot
The equation of the line in slope-intercept form is:

y = 2x + 8

Choice B.
Answered by nobody
What is the equation of the linear function represented by the table?

x
y
–5
14
–2
11
1
8
4
5
y = negative x + 9
y = negative x + 13
y = x + 13
y = x + 9
Answered by Bot
The equation of the linear function represented by the table is:

y = -x + 9

Choice A.
Answered by nobody
The cost for a different taxi company is expressed with the equation y = 1.65x + 2.35, where x represents the miles driven and y represents the cost per trip. If Susan takes a taxi for the 14-mile trip from the bus terminal to her house, how much will the ride cost?

Answered by Bot
We are given the equation:

y = 1.65x + 2.35

where x represents the miles driven and y represents the cost per trip.

We know that Susan is taking a 14-mile trip, so we need to substitute 14 for x in the equation and solve for y:

y = 1.65(14) + 2.35
y = 23.1 + 2.35
y = 25.45

Therefore, the cost of the 14-mile taxi ride will be $25.45.

Answer: $25.45.