What is the slope-intercept form equation of the line that passes through (3, 4) and (5, 16)?

Solution:

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line.

The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept (the y-coordinate of the point where the line intersects the y-axis).

Let us use the slope intercept form y = mx + b where m is the slope

Slope between the two points can be found using the formula.

m = (y₂ - y₁)/ (x₂ - x₁)

m = (16 - 4) / (5 - 3)

By further calculation

m = 12/ 2

m = 6

Let us consider the point (3, 4) to find the value of b

4 = 6 (3) + b

4 = 18 + b

b = 4 - 18

b = -14

Slope intercept form is y = 6x - 14

Therefore, the slope-intercept form equation of the line is y = 6x - 14.

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What is the slope-intercept form equation of the line that passes through (3, 4) and (5, 16)?

Summary:

The slope-intercept form equation of the line that passes through (3, 4) and (5, 16) is y = 6x - 14.