Question

Select the correct answer.Find the slope and the yśntercept of the equation 4x + 5y=-9.ОАslope = 4/5 and y-intercept = '{97(5)slope = (41(5). and yintercept = (97(5)OB.OC. slope = -47(5) and yintercept = -191/(5)OD. slope = (47(5) and y-intercept = 975

Answer 1

Given the equation:

4x + 5y = -9

Convert the given equation to the slope intercept form which is like:

y = mx + c

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

So,

$\begin{gathered} 4x+5y=-9 \\ 5y=-4x-9 \end{gathered}$

Divide all terms by 5

so,

$y=-\frac{4}{5}x-\frac{9}{5}$

Compare the last equation with the general form y = mx + c

so,

Slope = m = -4/5

And y-intercept = c = -9/5