Midterm- 1st Hour

Front

What is the y-intercept of the line with the equation 4x + 2y = 8?

Back

The y-intercept (b) is 2.

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

Front

Write the equation for the graph shown with a slope of -1/2 and a y-intercept of 2.

Back

The equation is y = -1/2x + 2.

Front

What is the slope-intercept form of a line with slope m = 4 that passes through the point (1, 5)?

Back

The equation is y = 4x + 1.

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you determine if two points lie on the same line?

Back

Check if the slope between the two points is the same as the slope of the line.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis.