5.1 Creating 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 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line.

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

Convert the equation y - 3 = 2(x - 1) into slope-intercept form.

Back

y = 2x + 1.

Front

If the slope of a line is 0, what does this indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

If the slope of a line is undefined, what does this indicate about the line?

Back

An undefined slope indicates a vertical line.

Front

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

Back

The y-intercept is 2.

Front

Write the slope-intercept form of a line with a slope of -3 and a y-intercept of 4.

Back

y = -3x + 4.

Front

How do you graph the equation y = 2x + 1?

Back

Start at the y-intercept (0,1) and use the slope (rise/run) to find another point.