Slope Quiz 1

Question 1

The slope of a line passing through the points $$(2, - 3)$$ and $$(-1, 4)$$ is

Accepted Answer

$$ - \dfrac{7}{3}$$

Answer

$$\dfrac{5}{3}$$

Answer

$$\dfrac{7}{3}$$

Answer

$$ - \dfrac{3}{7}$$

Question 2

The slope of the line $$15x - 3y + 2 = 0$$ is

Accepted Answer

$$m = 5$$

Answer

$$m = \dfrac{1}{5}$$

Answer

$$m =  - 5$$

Answer

$$m = \dfrac{2}{3}$$

Question 3

Which of these lines is perpendicular to $$2x + 3y + 5 = 0$$

Accepted Answer

$$3x - 2y + 8 = 0$$

Answer

$$2x + 3y + 7 = 0$$

Answer

$$4x + 6y + 5 = 0$$

Answer

$$2x - 3y + 5 = 0$$

Question 4

If the points $$\left( { - 2, - 3} \right)$$, $$\left( {3,7} \right)$$ and $$\left( {k,2} \right)$$ are collinear, then the value of $$k$$ is

Accepted Answer

$$k = \dfrac{1}{2}$$

Answer

$$k = 2$$

Answer

$$k =  - 2$$

Answer

$$k =  - \dfrac{1}{2}$$

Question 5

The maximum slope of the function $$f\left( x \right) = {x^3} + 2{x^2} - x + 2$$ in the domain $$\left[ {0,1} \right]$$ is

Accepted Answer

$$10$$

Answer

$$8$$

Answer

$$6$$

Answer

$$4$$