Answered

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A line includes the points (4, 4) and (0, 3). What is its equation in slope-intercept form?

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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