Point Slope Form Explained

The video tutorial explains how to write equations in point-slope form, starting with an introduction to the concept. It provides examples using a given slope and point, and demonstrates how to find the slope from two points using the slope formula. The tutorial also covers using a graph to determine the slope and write the equation in point-slope form. Key concepts include understanding the point-slope form equation, calculating slope from points, and applying these skills to graph-based problems.

What is the point-slope form of a linear equation?

• y = mx + b

• y - b = m(x - a)

• ax + by = c

• y = a + bx

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

• The y-intercept

• The x-intercept

• The slope

• The point on the line

Given a slope of 5 and a point (-2, 4), what is the point-slope form of the equation?

• y - 4 = 5(x + 2)

• y + 4 = 5(x - 2)

• y + 4 = 5(x + 2)

• y - 4 = 5(x - 2)

What is the first step in writing an equation in point-slope form if you are given two points?

• Find the y-intercept

• Find the slope

• Find the x-intercept

• Find the midpoint

Using the points (-1, 2) and (4, -2), what is the slope of the line?

• -4/5

• 5/4

• 4/5

• -5/4

If the slope is -4/5 and the point is (-1, 2), what is the point-slope form of the equation?

• y - 2 = -4/5(x + 1)

• y + 2 = -4/5(x - 1)

• y - 2 = 4/5(x + 1)

• y + 2 = 4/5(x - 1)

What is the slope formula used to find the slope between two points?

• (y2 - y1) / (x2 - x1)

• (x2 - x1) / (y2 - y1)

• (y1 - y2) / (x1 - x2)

• (x1 - x2) / (y1 - y2)

When converting a negative value in the point-slope form, what does -(-a) become?

• 2a

• a

• -2a

• -a

How do you determine the slope from a graph?

• Count the run over rise

• Use the y-intercept

• Use the x-intercept

• Count the rise over run

Given a slope of 2 and a point (-2, -2), what is the point-slope form of the equation?

• y - 2 = 2(x - 2)

• y + 2 = 2(x + 2)

• y + 2 = 2(x - 2)

• y - 2 = 2(x + 2)