Find the equation of the line given a point and the slope using point slope form

The video tutorial reviews the slope-intercept form of a line, emphasizing the roles of slope (m) and Y-intercept (b). It explains how to graph lines using these components and introduces an algebraic method for finding the slope-intercept form when given a slope and a point. The tutorial also covers the point-slope form and its relation to the slope formula, providing a step-by-step guide to solving equations algebraically.

What does the 'm' represent in the slope-intercept form of a line?

• The origin

• The x-coordinate

• The slope

• The y-intercept

When given a slope and a point, which method can be used to find the slope-intercept form?

• Only graphically

• Only algebraically

• Both graphically and algebraically

• Neither method

What is the point-slope form of a line used for?

• Graphing a circle

• Determining the slope from two points

• Calculating the area under a curve

• Finding the x-intercept

In the point-slope form, what do the variables X1 and Y1 represent?

• The midpoint of the line

• The y-intercept

• The coordinates of a point on the line

• The slope of the line

What is the first step in converting a point and slope into the slope-intercept form algebraically?

• Subtract the y-coordinate

• Simplify the equation

• Use the distributive property

• Graph the point

How do you handle a negative sign when using the distributive property in algebra?

• Multiply it across the terms

• Divide it by the slope

• Add it to the equation

• Ignore it

What is the final step in obtaining the slope-intercept form from the point-slope form?

• Add the x-coordinate

• Multiply by the slope

• Subtract the y-coordinate

• Simplify the equation