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Questions and Answers
What is the equation of the line that passes through the points (0, 4) and (-2, -5)?
What is the equation of the line that passes through the points (0, 4) and (-2, -5)?
y = (9/2)x + 4
Flashcards
Points on a line
Points on a line
Two points (0, 4) and (-2, -5) determine a unique straight line.
Line Equation
Line Equation
y = mx + b, where 'm' is the slope and 'b' is the y-intercept.
Finding the slope
Finding the slope
The slope (m) is calculated as the change in 'y' divided by the change in 'x' between two points.
Finding the y-intercept
Finding the y-intercept
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Equation of the line
Equation of the line
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Study Notes
Finding the Equation of a Line
- Points given: (0, 4) and (-2, -5)
- Find the slope (m): m = (y₂ - y₁) / (x₂ - x₁) = (-5 - 4) / (-2 - 0) = -9 / -2 = 9/2
- Use the point-slope form: y - y₁ = m(x - x₁) Using point (0, 4): y - 4 = (9/2)(x - 0)
- Simplify to slope-intercept form (y = mx + b): y - 4 = (9/2)x y = (9/2)x + 4
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