3 years ago

A line passes through the point (1,3) and has a slope of 5. Write an equation in slope-intercept form for this line.

Mathematics

1 answer:

il63 [147K]3 years ago

4 0

Answer:

y = 5x - 2

Step-by-step explanation:

Gradient is also known as slope . The gradient of a line is represented by the equation

Slope (m) = y - y1/ x - x1

Where m = 5 , x1= 1 and y1 = 3

Imputing the values into the equation

m = y - y1/ x - x1

5 = y - 3 /x - 1

Cross multiply, we have

y -3 = 5(x - 1)

Expand

y-3 = 5x - 5

Add 3 to both sides

y-3+3 = 5x - 5 +3

y = 5x - 2

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The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65° E, and the two towers are 31 kilometers apart.

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<h3>How to solve for the distance</h3>

80 = 65 + <ABC

<ABC = 80 - 65

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By using sine rule,

Sine 15/a = sine 135/b =

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b = (30× sin135) / sin 30

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= (42.42 × sin 15) / sin 135

= 10.98/0.7071

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