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. y - -\frac{x}{8}+o. (simplify your answer use integers or fractions for any numbers in the equation ) b. the slope of the equation of the line is -\frac{5}{8} and the y - intercept is (0,5) (type integers or fractions )

Explanation:

Step1: Isolate the y-term

$5x + 8y - 40 = 0 \implies 8y = -5x + 40$

Step2: Solve for y (slope-intercept)

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

Step3: Identify slope and y-intercept

From $y = mx + b$, $m=-\frac{5}{8}$, $b=5$ (y-intercept is $(0,5)$)

Step4: Graphing guidance

1. Plot the y-intercept $(0,5)$.
2. Use slope $-\frac{5}{8}$: move 5 units down and 8 units right from $(0,5)$ to plot a second point, then draw a line through the two points.

Answer:

a. $y = -\frac{5}{8}x + 5$
b. Slope: $-\frac{5}{8}$; y-intercept: $(0, 5)$
c. Plot $(0,5)$, then use the slope to plot a second point $(-8,10)$ or $(8,0)$, then draw a straight line through the points.