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:

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

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

So, we have:

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{0--5}{-6-0} \\ m=\frac{5}{-6} \\ m=-\frac{5}{6} \end{gathered}$

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:

$y=-\frac{5}{6}x-5$

The graph is: