Question

what is the slope?what are intercept solutions (points) on the graph?

Answer 1

Slope = 3

The points: (x, y) = (-0.5, 2)

Explanation:

Using the slope formula:

$m\text{ = }\frac{y_2-y_1}{x_2-x_1}$

To get the slope we would pick any two points on the graph:

using poinjts: (1, 5) and (2, 8)

$\begin{gathered} x_1=1,y_1=5,x_2=2,y_2\text{ =8} \\ \text{slope = }\frac{8-5}{2-1} \end{gathered}$$\begin{gathered} \text{Slope =}\frac{3}{1} \\ \text{slope = 3} \end{gathered}$

The intercepts: x and y intercept

The y intercept is the value of y when the line crosses the y axis.

The value of y is 2.

Hence, the y intercept is 2

The x intercept is the value of x when y is equal to zero

The point is not very clear from the graph as it is not an whole number.

x is almost -1 when y = 0

Since the value is close to -0.5, we would take x = -0.5

The points: (x, y) = (-0.5, 2)