Writing Slope Intercept 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 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line, indicating how steep the line is.

Front

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

Back

'b' represents the y-intercept, 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

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

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

How do you convert the equation y = 3x + 4 to slope-intercept form?

Back

The equation is already in slope-intercept form: y = mx + b.

Front

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

Back

The y-intercept is 2, which is the point (0, 2).

Front

If a line passes through the point (0, -3) and has a slope of 4, what is the equation?

Back

The equation is y = 4x - 3.