Question

Answer choices for all of them A. Slope is 2/3 B. Slope is -3 C. Slope is -2/5

Answer 1

1. To calculate the slope of the following equation

`y=mx+c`

`\begin{gathered} y=(2)/(3)x+10 \\ y=mx+c \\ \text{compare} \\ m=(2)/(3) \end{gathered}`

Slope for equation 1 = 2/3

2.

`\begin{gathered} 6x+2y=5 \\ 2y=-6x+5 \\ \text{divide both side by 2} \\ (2y)/(2)=-(6x)/(2)+(5)/(2) \\ y=-3x+(5)/(2) \\ y=mx+c \\ \text{compare } \\ m=-3 \end{gathered}`

Slope for equation 2 = - 3

3. The line in the image

`\begin{gathered} \text{slope}=(y_2-y_1)/(x_2-x_1) \\ x_1=0,y_1=1 \\ x_2=-5,y_2=3 \\ \text{slope }=(3-1)/(-5-0)=(2)/(-5) \\ \text{slope = }(-2)/(5) \end{gathered}`

Therefore the correct slope for the equation.

1. Slope = 2/3

2. Slope = -3

3. Slope = -2/5