Slope Basics

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

Find the slope of the line that passes through the points (6,7) and (4,2).

Back

The slope is 5/2.

Front

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

Back

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

Front

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

Back

The y-intercept is 4.

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept of the line.

Front

Find the slope of the line represented by the equation y = 4x + 1.

Back

The slope is 4.

Front

Find the slope of the line represented by the equation y = -rac{5}{3}x + 2.

Back

The slope is -rac{5}{3}.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.