Question 1099364
<br>Every line parallel to the graph of 5x+9y=4 will have an equation of the general form 5x+9y=k, where k is some constant.<br>
To find the line of that form that passes through the particular point (4,-9), simply plug those x and y values into the general form of the equation to find the value of k:<br>
{{{5x+9y=k}}}
{{{5(4)+9(-9) = 20-81 = -61}}}<br>
The line you are looking for has equation 5x+9y = -61.