Slope-intercept

Front

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

Back

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

Front

What does 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line, indicating the steepness and direction of the line.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the y-intercept of the line represented by the equation y = 3x - 2?

Back

The y-intercept is -2, which is the value of y when x = 0.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

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, representing the value of y when x is 0.

Front

Find the slope of the line that passes through the points (2, 3) and (4, 7).

Back

The slope is 2, calculated as (7 - 3) / (4 - 2).

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing from left to right.

Front

Write the equation of a line with a slope of 5 and a y-intercept of 1.

Back

The equation is y = 5x + 1.

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope is -3.