Question

Graph -9x + 5y = 45. Intro y Unit Test skills 9 8+ 7+ 6 CO 5 4 3 No 1 1 х -9-8-7 -6 -5 -4 -3 -2 1 2 3 4 5 6 7 8 9 -2 -3 -4 -5 -6 -7 -8 -9

Answer 1

Here, we want to graph the given line

Firstly, we write the equation in the standard form

The standard form is;

$y\text{ = mx + b}$

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

We have this as;

$\begin{gathered} 5y\text{ = 9x + 45} \\ \text{divide through by 5} \\ y\text{ = }\frac{9}{5}x\text{ + }\frac{45}{5} \\ \\ y\text{ = 1.8x + 9} \end{gathered}$

we have the y-intercept, this is 9, so we mark the point (0,9)

What is left is to get the possible x-intercept

As the value of y at this point is zero

We have it that;

$\begin{gathered} 0\text{ = 1.8x + 9} \\ 1.8x\text{ = -9} \\ x\text{ = }\frac{-9}{1.8} \\ x\text{ = -5} \end{gathered}$

The x-intercept is -5, which in the coordinate form is (-5,0)

So, by joining the points (-5,0) and (0,9), we have the graph of the line

A plot is shown below;