Question

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

Answer 1

Answer:

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

y = -1/6x + 4

Step-by-step 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