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Answered

Use the above graph to answer the following:

A.) determine the slope m

B.) determine the y-intercept b

C.) write the equation of the line in slope-intercept form

D.) use your equation to find the x-intercept

Use the above graph to answer the following A determine the slope m B determine the yintercept b C write the equation of the line in slopeintercept form D use y class=


Answer :

bhuvna789456

Slope of the line is -4/5, y-intercept is 3, equation in slope-intercept form is y = -4/5 x + 3 and the x-intercept is 15/4

Step-by-step explanation:

  • Step 1: Find slope, m.

Slope = (y2 - y1)/(x2 - x1)

Here, x1 = 0, y1 = 3, x2 = 5, y2 = -1 (based on the plotted points)

⇒ m = (-1 - 3)/(5 - 0) = -4/5

  • Step 2: Find the y-intercept

y-intercept is the point where the line intersects the y-axis.

Here, the y-intercept, b = 3

  • Step 3: Write the equation of the line in slope-intercept form

y = mx + b ⇒ y = -4/5 x + 3

  • Step 4: Find the x-intercept using the equation.

x-intercept is the point where the line intersects the x-axis. Then y = 0

⇒ 0 = -4/5 × x + 3

⇒ -4/5 × x = -3

⇒4x = 15

∴ x = 15/4