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Sagot :
The required slope-intercept form of the equation of the line is y = x/4 + 3.
To determine the equation of the line in slope-intercept form passing through the points (4, 4) and (0, 3).
What is the slope of the line?
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
here,
m = (y₂ - y₁) / (x₂ - x₁)
Substitute the points,
m = [3 - 4] / [0 - 4]
m = 1 / 4
Standard equation of the line
y - y₁ = m (x - x₁)
Substitute one point and m in the above equaiton
y - 3 = 1/4 [x - 0]
y = x/4 + 3
Thus, the required slope-intercept form of the equation of the line is y = x/4 + 3.
Learn more about slopes here:
https://brainly.com/question/3605446
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