Writing Equations in Point-Slope Form from Two Points

What is the primary use of point-slope form?

• To calculate the area of a triangle

• To write equations in slope-intercept form

• To find the y-intercept of a line

• To determine the length of a line segment

Which of the following is the correct point-slope form equation?

• y = mx + b

• y - y1 = m(x - x1)

• y = m(x + y1)

• y = m(x - x1) + b

In the point-slope form equation, what does 'm' represent?

• The slope of the line

• The x-coordinate of a point

• The y-intercept

• The y-coordinate of a point

What must you know to use the point-slope form?

• Two points on the line

• The x-intercept and the y-intercept

• The slope and one point on the line

• The y-intercept and one point on the line

How do you find the slope given two points (x1, y1) and (x2, y2)?

• (y2 - y1) / (x2 - x1)

• (y1 - y2) / (x1 - x2)

• (x2 - x1) / (y2 - y1)

• (x1 - x2) / (y1 - y2)

Given points (-4, 4) and (6, 9), what is the slope of the line?

• 5

• 1/2

• 2

• 10

What is the next step after finding the slope when using point-slope form?

• Graph the line

• Solve for x

• Find the y-intercept

• Substitute the slope and a point into the point-slope form equation

In the equation y - 4 = 1/2(x + 4), what does the 4 on the left side represent?

• The y-intercept

• The y-coordinate of the point

• The slope

• The x-coordinate of the point

How do you simplify the equation y - 4 = 1/2(x + 4) to slope-intercept form?

• Distribute 1/2 and then add 4 to both sides

• Multiply both sides by 2

• Subtract 4 from both sides

• Divide both sides by 1/2

What is the final slope-intercept form of the equation y - 4 = 1/2(x + 4)?

• y = 1/2x - 6

• y = 1/2x - 2

• y = 1/2x + 2

• y = 1/2x + 6