Practice Alg 1D Semester 1 Final Exam

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

How do you determine if a line is increasing or decreasing based on its slope?

Back

If the slope is positive, the line is increasing; if negative, the line is decreasing.

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

Slope = (7 - 3) / (4 - 2) = 4/2 = 2.

Front

What is the y-intercept in the equation of a line in slope-intercept form y = mx + b?

Back

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

Front

How do you write the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1).

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates 'greater than or equal to' or 'less than or equal to'; a dashed line indicates 'greater than' or 'less than'.

Front

What does the inequality y > mx + b represent on a graph?

Back

It represents the region above the line y = mx + b.

Front

How do you find the equation of a line given two points?

Back

First, calculate the slope using the two points, then use the point-slope form to find the equation.