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What is the slope-intercept form of the equation of the line that passes through the point (1, -1) with a slope of -4?
What is the slope-intercept form of the equation of the line that passes through the point (1, -1) with a slope of -4?
y = -4x + 3
Using point-slope form, how would you write the equation for the line with slope -4 passing through (1, -1)?
Using point-slope form, how would you write the equation for the line with slope -4 passing through (1, -1)?
y + 1 = -4(x - 1)
If the slope of the line is -4, what does this indicate about the direction of the line?
If the slope of the line is -4, what does this indicate about the direction of the line?
The line decreases from left to right.
What is the y-intercept of the line that passes through (1, -1) with a slope of -4?
What is the y-intercept of the line that passes through (1, -1) with a slope of -4?
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How does the slope of -4 affect the steepness of the line compared to a slope of -1?
How does the slope of -4 affect the steepness of the line compared to a slope of -1?
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Study Notes
Finding the Equation of a Line
- A line passes through the point (1, -1).
- The slope of the line is -4.
- Use the point-slope form of a linear equation: y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line.
- Substitute the given values: y - (-1) = -4(x - 1)
- Simplify the equation: y + 1 = -4x + 4
- Solve for y: y = -4x + 3
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Description
This quiz focuses on determining the equation of a line using the point-slope form. It provides a step-by-step approach by substituting specific values for slope and a point on the line. Great for mastering linear equations and their representations!
