Slope-Intercept Form

Front

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

Back

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

Front

What does the slope (m) represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How do you find the y-intercept from a graph?

Back

Locate the point where the line crosses the y-axis; the y-coordinate of this point is the y-intercept.

Front

If a line has a slope of 2, what does this mean?

Back

For every 1 unit increase in x, y increases by 2 units.

Front

What is the slope of the line represented by the equation y = -3x + 7?

Back

The slope is -3.

Front

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

Back

Use the formula: slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line with a slope of 1/2 and a y-intercept of 4?

Back

The equation is y = (1/2)x + 4.

Front

What is the y-intercept of the line y = 5x - 2?

Back

The y-intercept is -2.

Front

How do you convert the equation 2x + 3y = 6 into slope-intercept form?

Back

Rearrange to get y = -2/3x + 2.