11/10 Point-Slope Form Check for Understanding

Front

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

Back

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

How do you identify the slope from a point-slope equation?

Back

In the point-slope equation y - y1 = m(x - x1), the slope is represented by the variable m.

Front

Given the equation y - 3 = 2(x + 4), what is the slope?

Back

The slope is 2.

Front

What point does the line y - 3 = 2(x + 4) pass through?

Back

The line passes through the point (-4, 3).

Front

How do you find the average rate of change between two points?

Back

The average rate of change is calculated as (change in y) / (change in x) between the two points.

Front

If a climber is at an altitude of 400 feet after 2 hours and 700 feet after 6 hours, what is the average rate of change?

Back

The average rate of change is 75 feet per hour.

Front

What is the point-slope equation for the climber who is at 700 feet after 6 hours with an average rate of change of 75?

Back

The point-slope equation is y - 700 = 75(x - 6).

Front

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

Back

To convert to slope-intercept form, solve for y to get it in the form y = mx + b.

Front

Convert the equation y + 5 = -3(x - 6) into slope-intercept form.

Back

The slope-intercept form is y = -3x + 13.

Front

What are the two points used to find a linear equation for the cost of tickets if 5 tickets cost $102 and 8 tickets cost $150?

Back

The two points are (5, 102) and (8, 150).