Writing Slope-Intercept Form Equations

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 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 value of y when x is 0, representing the point where the line crosses the y-axis.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

If a line has a slope of 4, what does this mean?

Back

A slope of 4 means that for every 1 unit increase in x, y increases by 4 units.

Front

Write the equation of a line with a slope of -2 and a y-intercept of 5.

Back

The equation is y = -2x + 5.

Front

What is the equation for a line that passes through the point (0, 20) and has a slope of -3?

Back

The equation is y = -3x + 20.

Front

How can you find the y-intercept from the equation y = 2x - 6?

Back

The y-intercept is -6, which is the value of b in the equation.

Front

What is the slope of the line represented by the equation y = 5x + 1?

Back

The slope is 5.

Front

If Sandra spends $3 each month from her $20 gift card, how would you express this situation in slope-intercept form?

Back

The equation is y = -3x + 20.