To derive the equation of the line in slope-intercept form
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Identify the coordinates:
- Point 1:
- Point 2:
- Point 1:
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Calculate the slope (m): The formula for the slope
between two points and is: Substituting the coordinates: -
Use the slope and one of the points to find the y-intercept (b): We can use the y-intercept from point (0, -4) directly: Since the line passes through (0, -4), the y-intercept
is . -
Write the equation in slope-intercept form: Now that we have
and , we can substitute these values into the slope-intercept formula:
Thus, the equation of the line in slope-intercept form is: