Question

watch the video and then solve the problem given below. click here to watch the video. a. rewrite the given equation 5x + 8y - 40 = 0 slope - intercept form. b. give the slope and y - intercept. c. use the slope and y - intercept to graph the linear function. a. the slope - intercept form of the equation is \square. (simplify your answer. use integers or fractions for any numbers in the equation.)

Explanation:

Step1: Isolate the y-term

$8y = -5x + 40$

Step2: Solve for y (divide by 8)

$y = \frac{-5x + 40}{8} = -\frac{5}{8}x + 5$

Step3: Identify slope and intercept

Slope is the coefficient of $x$; y-intercept is the constant term.

Answer:

a. $y = -\frac{5}{8}x + 5$
b. Slope: $-\frac{5}{8}$, y-intercept: $(0, 5)$
c. To graph:

1. Plot the y-intercept point $(0, 5)$ on the coordinate plane.
2. Use the slope $-\frac{5}{8}$: from the y-intercept, move 5 units down and 8 units right (or 5 units up and 8 units left) to plot a second point.
3. Draw a straight line connecting the two points.