Y = mx + b

Front

What does the equation y = mx + b represent?

Back

It represents the slope-intercept form of a linear equation, where 'm' is the slope and 'b' is the y-intercept.

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) indicates the steepness and direction of the line on a graph.

Front

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

Back

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

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

Front

If a line has a slope of -1, what does this indicate about its direction?

Back

The line descends from left to right.

Front

What is the y-intercept of the equation y = 4x - 5?

Back

The y-intercept is -5.

Front

How can you determine the equation of a line from a graph?

Back

Identify the slope and the y-intercept from the graph.

Front

What is the equation of a line with a slope of 3 and a y-intercept of 1?

Back

y = 3x + 1.

Front

If a line passes through the point (0, 2), what is the y-intercept?

Back

The y-intercept is 2.