Question

Need an answer quick due tomorrow.

Answer 1

1. the line has a positive slope

2.slope, m = y2 - y1 / x2 - x1

3. slope of the line, m = 2/3

Step-by-step explanation:

let's take two co - ordinates from the graph:

x1, y1 = 0, 1

x2, y2 = 3, 3

slope, m = y2 - y1 / x2 - x1

= 3 - 1 / 3 - 0

= 2/3

thus,

1. the line has a positive slope

2.slope, m = y2 - y1 / x2 - x1

3. slope of the line, m = 2/3

Answer 2

1. positive slope.

2. change in y axis by change in x axis.

3. slope: 2/3.

Step-by-step explanation:

Slope is rise over run. Also referred to unit change in y axis by change in x axis.

`\sf Slope:(y_2-y_1)/(x_2-x_1)\\`

where (x1, y1) and (x2, y2) are points.

1. As we see the value of y increasing across the x-axis, we know it is a positive gradient. We will have undefined slope if the line was vertical.

2. As mentioned above, slope can be found by change in y axis by change in x axis.

3. Take two points from the line: (0,1), (3,3). Slope: (3-1)/(3-0) = 2/3