Slope Y-intercept form

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 the slope (m) represent in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How do you find the y-intercept from the equation y = -2x + 5?

Back

Set x = 0 in the equation. Thus, y = -2(0) + 5 = 5.

Front

What is the y-intercept of the equation y = 4x + 3?

Back

The y-intercept is 3.

Front

If the slope of a line is 3, what does this mean?

Back

It means that for every 1 unit increase in x, y increases by 3 units.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = -1x + 3?

Back

The slope is -1.

Front

Write the equation of a line with a slope of 2 and a y-intercept of 4.

Back

The equation is y = 2x + 4.

Front

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

Back

The y-intercept is 3.