Writing Equations in Point-Slope Form

What is the main objective of the lesson?

• To learn about quadratic equations

• To understand the properties of circles

• To solve complex integrals

• To write equations of lines using a point and a slope in point-slope form

In the point-slope form equation y - y1 = m(x - x1), what does 'm' represent?

• A constant value

• The y-intercept

• The x-intercept

• The slope of the line

How is the point-slope form derived?

• From the slope formula

• From the distance formula

• From the quadratic formula

• From the Pythagorean theorem

When given a point and a slope, what is the first step in writing an equation in point-slope form?

• Find the y-intercept

• Graph the line

• Identify the coordinates of the point and the slope

• Convert to slope-intercept form

If the given point is (-3, 4) and the slope is -1/4, what is the equation in point-slope form?

• y + 4 = 1/4(x - 3)

• y - 4 = -1/4(x + 3)

• y + 4 = -1/4(x - 3)

• y - 4 = 1/4(x + 3)

How do you find the slope between two points (2, -4) and (5, 3)?

• -7/3

• 7/3

• -3/7

• 3/7

Given two points, what is the next step after finding the slope to write the equation in point-slope form?

• Choose one of the points to use in the equation

• Find the y-intercept

• Convert to standard form

• Graph the points

What is the point-slope form equation for the points (1, -2) and (3, 6) with a slope of 4?

• y + 2 = 4(x - 1)

• y - 6 = 4(x - 3)

• y - 2 = 4(x + 1)

• y + 6 = 4(x + 3)

How do you convert the point-slope form equation y + 1 = -1/2(x - 7) to slope-intercept form?

• y = -1/2x - 3.5

• y = -1/2x + 3.5

• y = -1/2x - 7

• y = -1/2x + 7

What is the slope-intercept form of the equation y - 5 = -4(x + 2)?

• y = 4x - 3

• y = 4x + 3

• y = -4x - 3

• y = -4x + 3