Write the equation of a line given point and slope

The video tutorial explains how to write the equation of a line using the point-slope form when given a point and a slope. It starts by introducing the point-slope form as an alternative to the slope-intercept form. The instructor demonstrates how to label the given point as X1 and Y1 and the slope as M, then plug these values into the point-slope formula. The tutorial also covers converting the equation into slope-intercept form by applying the distributive property. The session concludes with an example problem to reinforce the concepts.

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

• Determining the x-intercept of a line

• Finding the y-intercept directly

• Calculating the area under a curve

• Writing the equation of a line given a point and a slope

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

• Any point that lies on the line

• The slope of the line

• The midpoint of the line segment

• The y-intercept of the line

What is the result of substituting X1 = -5 and Y1 = 2 into the point-slope form equation?

• y - 2 = 3/5(x - 5)

• y + 2 = 3/5(x + 5)

• y - 2 = 3/5(x + 5)

• y + 2 = 3/5(x - 5)

How do you convert an equation from point-slope form to slope-intercept form?

• By applying the distributive property

• By adding the slope to both sides

• By subtracting the y-intercept from both sides

• By multiplying both sides by the slope

What is the y-intercept of the line when the equation is in slope-intercept form?

• 3

• 5

• 2

• 15