Find the slope of the line with equation 4x - 5y = 20. (Hint: Finding some points on the line first - perhaps the x- and y-intercepts - may help you find the slope.)

Question

asked Aug 16, 2023 134k views

1 Answer

Wild Beard · Answer 1 · 2023-08-21T13:34:38+0000

The slope formula is :

From the problem, we have the equation :

Find two points on the line (x and y intercepts)

For x intercept, let y = 0

$\begin{gathered} 4x-5(0)=20 \\ 4x=20 \\ x=(20)/(4)=5 \end{gathered}$

For y intercept, let x = 0

$\begin{gathered} 4(0)-5y=20 \\ -5y=20 \\ y=(20)/(-5)=-4 \end{gathered}$

The points are (5, 0) and (0, -4)

Using the formula above :

$\begin{gathered} m=(-4-0)/(0-5)=(-4)/(-5) \\ m=(4)/(5) \end{gathered}$

ANSWER :

The slope is 4/5