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What is the equation of the line in slope-intercept form?

What is the equation of the line in slope-intercept form?-example-1
User Netwire
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Answer:

The equation of the line in slope-intercept form is:

y = -1/6x + 4

Explanation:

The slope-intercept form of the line equation


y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the points on the line graph

  • (0, 4)
  • (6, 3)

Determining the slope between (0, 4) and (6, 3)

  • (x₁, y₁) = (0, 4)
  • (x₂, y₂) = (6, 3)

Using the formula

Slope = m = [y₂ - y₁] / [x₂ - x₁]

= [3 - 4] / [6 - 0]

= -1 / 6

Thus, the slope of the line = m = -1/6

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 4

Thus, the y-intercept b = 4

now substituting b = 4 and m = -1/6 in the slope-intercept form

y = mx + b

y = -1/6x + 4

Therefore, the equation of the line in slope-intercept form is:

y = -1/6x + 4

User Sabir Al Fateh
by
7.7k points

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