Writing Equations in 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

How do you identify the slope from the equation y = 3x + 9?

Back

The slope (m) is 3.

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

Convert the equation x - 7y = -21 to slope-intercept form.

Back

y = 1/7x + 3.

Front

What is the slope of the line represented by the equation y = 5x - 16?

Back

The slope is 5.

Front

How do you find the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), then convert to slope-intercept form.

Front

What is the slope of a line that goes through the points (-2, -1) and (-3, 5)?

Back

The slope is -6.

Front

What is the first step to convert an equation from standard form to slope-intercept form?

Back

Isolate y on one side of the equation.

Front

If a line has a slope of 4 and passes through the point (-2, 1), what is the equation of the line?

Back

y = 4x + 9.

Front

What does it mean if two lines are parallel in terms of their slopes?

Back

Parallel lines have the same slope.