Point-Slope Form and Linear Equations

Mrs. Yaod teaches Algebra 1 students about writing equations in point-slope form. The lesson includes examples of using the point-slope form with a given slope and point, as well as with two points. Students practice converting equations to slope-intercept form and analyze data tables to determine linearity. The lesson concludes with a real-world application of linear functions.

What is the main topic of the lesson introduced by Mrs. Yaod?

• Writing equations in point-slope form

• Solving quadratic equations

• Factoring polynomials

• Graphing linear inequalities

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

• The x-coordinate of a point

• The slope of the line

• The y-intercept

• The y-coordinate of a point

When given a slope of -1/8 and a point (3, -5), what is the first step in using the point-slope form?

• Find the y-intercept

• Substitute the slope and point into the formula

• Convert to slope-intercept form

• Graph the equation

If you have two points, (1, 2) and (3, -2), what is the first step to find the equation of the line?

• Use the midpoint formula

• Directly write the equation in slope-intercept form

• Calculate the y-intercept

• Find the slope using the slope formula

In the exercise, what is the simplified form of the equation y - 1 = -3(x + 2)?

• y = 3x - 5

• y = 3x + 5

• y = -3x + 5

• y = -3x - 5

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

• y = 2x + 4

• y = -2x - 4

• y = 2x - 4

• y = -2x + 4

How do you determine if a data table can be modeled by a linear equation?

• Count the number of data points

• Check if the x-values are increasing

• Ensure the y-values increase by the same amount for equal x-increments

• Verify if the y-values are all positive

In the real-world problem, what is the slope of the function representing Craig's driving?

• 85 miles per hour

• 180 miles per hour

• 60 miles per hour

• 265 miles per hour