it says "use the given information to write an equation for each line" but I don't understand what to do, please help.

Mathematics

1 answer:

Gwar [14]2 years ago

7 0

USe the points and slope to write in y=mx+b!

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Hunter did not want to spend more than 150$ for a flight from Reno to Los Angeles. Write the inequality that models this situati

Jobisdone [24]

Answer:

$(a)\ x < 150$

$(b)\ x = 149; x = 148$

Step-by-step explanation:

Given

$Amount = 150$ --- not more than

$x \to$ spending

Solving (a): Represent as an inequality

Not more than means <

So, the inequality is:

$Spending < Amount$

$x < 150$

Solving (b): The first two possible solutions

These are the numbers closest to 150 i.e. 149 and 148

Hence, $x = 149; x = 148$

7 0

2 years ago

Which statements about the system are true?

Kruka [31]

2 Answers:

B) The lines are parallel
C) The lines have the same slope.

Parallel lines always have equal slope, but different y intercepts.

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Explanation:

Let's solve the second equation for y

3y - x = -7

3y = -7+x

3y = x-7

y = (x-7)/3

y = x/3 - 7/3

y = (1/3)x - 7/3

The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.

However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.

Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.

Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.

I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.