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3 years ago

Write an equation for each line in slope intercept form

Mathematics

1 answer:

Aneli [31]3 years ago

4 0

Answer:

Blue = y = -2x - 5 Red = y = -3x + 3

Step-by-step explanation:

Blue line

y = mx + b

y = y coordinate

m = slope (rise/run, up/over, change in y/change in x)

x = x coordinate

b = y intercept (where the line crosses the y-axis.

Blue Red

1. Write the equation y = mx + b y = mx + b

2. Substitute the numbers in the proper place. y = 2/1 x - 5 y = 3/1x + 3

3. Check for the type of slope- (positive or negative) y = -2x - 5 y = -3x + 3

(Downhill slopes are always negative.)

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When fritz drives to work his trip takes 40 minutes, but when he takes the train it takes 30 minutes. find the distance fritz t

sweet-ann [11.9K]

Distance = rate*time

convert minutes to hour first because the question talking about 15 mile per hour
40 mins = 40/60 2/3 hrs
30 mins = 30/60 = 1/2hrs

Assume that s be the speed when Fritz driving, so
s + 15 will be the speed of the train.

We know the time we know the speed, Next
distance that Fritz drive = $\frac{2}{3}s$
distance the train travel = $\frac{1}{2}(s+15)$

The question: Assume that the train travels the same distance as the car
==> $\frac{2}{3}s = \frac{1}{2}(s+15)$
==> $\frac{2}{3}s = \frac{1}{2}s + \frac{15}{2}$
==> $\frac{2}{3}s - \frac{1}{2}s = \frac{15}{2}$
==> $\frac{1}{6}s = \frac{15}{2}$
==> $\frac{6}{1} * \frac{1}{6}s = \frac{15}{2} * \frac{6}{1}$
==> $s = 45$
Now we know that Fritz drive at 45 mph,
distance = $\frac{2}{3} * 45 = 30 miles$

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4 years ago