Writing & Graphing Equations in Slope 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 '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, which is the point where the line crosses the y-axis.

Front

Write the slope-intercept form of a line with a slope of 3 and a y-intercept of -5.

Back

y = 3x - 5

Front

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

Back

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

Front

What is the slope of a line that rises from left to right?

Back

The slope is positive.

Front

What is the slope of a line that falls from left to right?

Back

The slope is negative.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

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

Back

For every 1 unit increase in x, y increases by 4 units.