Slope and Right Triangles

What is the slope of the line graphed below? Simplify your answer. Be careful of the scale on the y-axis!

• 30/3 = 10/1 = 10

• 3/30 = 1/10

• 3/3 = 1

Tags

CCSS.8.EE.B.5

Find the slope of the line that passes through the points (2, 4) and (6, 12)

• 1/2

• -1/2

• 2

• -2

Tags

CCSS.8.EE.B.5

Find the slope of the line that passes through:
(-3, -4) and (7, 6)

• 0

• Undefined

• -1

• 1

Tags

CCSS.8.EE.B.5

find the slope

• 3/2

• -3/2

• (-0,-3)

• none of the above

Tags

CCSS.8.EE.B.5

Find the slope

Tags

CCSS.8.EE.B.5

What are the measures of the TWO acute angles in this slope triangle? (round to the nearest whole number)

• 38°

• 59°

• 31°

• 52°

Answer explanation

The slope is 3/5, so the lower angle is inverse tangent of 3/5, and the other acute angle is complementary (they add to 90°).

Tags

CCSS.HSG.CO.A.1

• 30°

• 45°

• 55°

• 60°

Answer explanation

In this case, the rise of the ramp is the opposite of the angle (rise = opposite) and the run of the ramp is adjacent to the angle (run = adjacent), so the angle is the inverse tangent of the slope.

Tags

CCSS.HSG.SRT.C.8

The slope of the hypotenuse of this triangle is approximately:

• 12

• 0.36

• 2.75

Answer explanation

In this case, rise/run is the same as opposite/adjacent, so the slope is the tangent of the angle (tan 20°=0.36).

Tags

CCSS.8.EE.B.6

Find x.

• 10

• √3

• 5

• 10√3

Answer explanation

The short leg in a 30°-60°-90° triangle is half of the hypotenuse, so x = 5.

Tags

CCSS.HSG.SRT.C.8

What is the equation of this line?

• y = 5/3x

• y = 3x + 5

• y = 5x +3

• y = 3/5x

Answer explanation

The slope is 3/5 and the y-intercept is 0. The equation of a line is y = mx +b.