Day 5 Review

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

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

Back

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

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

What does the equation y = 1/3x - 2 represent graphically?

Back

It represents a line with a slope of 1/3 and a y-intercept of -2.

Front

How can you identify a vertical line on a graph?

Back

A vertical line has the same x-coordinate for all points on the line.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0.

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change between two variables.