Question

Determine the slope m and y-intercept (if possible) of the linear equation(Pre-algebra)

Answer 1

Answer:

$\begin{gathered} a)\text{ slope = -}\frac{8}{9} \\ b)\text{ Intercept \lparen x,y\rparen = \lparen0,}\frac{1}{9}) \\ c)\text{ E} \end{gathered}$

Explanation:

The general equation of a straight line can be represented as:

$y\text{ = mx + b}$

where m is the slope and b is the y-intercept

Now, let us rewrite the given equation in the form above:

$\begin{gathered} 9y\text{ = -8x + 1} \\ y\text{ = -}\frac{8}{9}x\text{ + }\frac{1}{9} \end{gathered}$

Now, from the above:

$\begin{gathered} slope\text{ = -}\frac{8}{9} \\ \\ y-intercept\text{ = }\frac{1}{9} \end{gathered}$

Now, let us describe the graph:

The graph will pass through the y-intercept

The y-intercept is at the point (0,1/9)

Hence, the graph passes through (0,1/9)

Furthermore, we can see that the slope is negative

This indicates a falling graph

This means the graph falls by 8 units vertically for every horizontal increase by 9 units