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

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

y = 2/3x + 2

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

Given the points

(x₁, y₁) = (0, 2)

(x₂, y₂) = (3, 4)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [4 - 2] / [3 - 0]

               = 2 / 3

Thus, the slope of the line = m = 2/3

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 = 2

Thus, the y-intercept b = 2

now substituting m = 2/3 and b = 2 in the slope-intercept form

y = mx+b

y = 2/3x + 2

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

y = 2/3x + 2

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .