Question

4. An equation that crosses the y-axis at -5 and crosses the x-axis at -65. An equation that crosses the y-axis at -5 and crosses the point (2,3)

Answer 1

4.

The points are:

(0,-5)

(-6,0)

Slope is:

`m=(y_2-y_1)/(x_2-x_1)`

Basically change in y's divided by change in x's.

So, we have:

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(0--5)/(-6-0) \\ m=(5)/(-6) \\ m=-(5)/(6) \end{gathered}`

The y-intercept is -5

The equation of line is y = mx + b

Where m is slope and b is y-intercept.

Thus, we have:

`y=-(5)/(6)x-5`

The graph is: