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Nutka1998 [239]
3 years ago
5

A stretch of highway has a 4% uphill grade. This means that the road rises 1 foot for every 25 feet of horizontal distance. The

beginning of the highway (x = 0) has an elevation of 2,225 feet. Write an equation for this stretch of roadway ini point-slope form.​
Mathematics
1 answer:
Sladkaya [172]3 years ago
3 0

Answer:

The equation for this stretch of roadway in point-slope form is y - 2225 = 0.04x

Step-by-step explanation:

Equation in point-slope form:

The equation of a line in point-slope form is given by:

y - y_0 = m(x - x_0)

In which (x_0,y_0) is the point and m is the slope.

A stretch of highway has a 4% uphill grade. This means that the road rises 1 foot for every 25 feet of horizontal distance.

This means that m = 0.04

The beginning of the highway (x = 0) has an elevation of 2,225 feet.

This means that (x_0,y_0) = (0,2255). So

y - y_0 = m(x - x_0)

y - 2225 = 0.04(x - 0)

y - 2225 = 0.04x

The equation for this stretch of roadway in point-slope form is y - 2225 = 0.04x

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