Slope Intercept Form Review

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by 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 = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

What does the y-intercept represent in the slope-intercept form?

Back

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

Front

How can you find the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the slope of the line represented by the equation y = 4x + 3?

Back

The slope of the line is 4.

Front

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

Back

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

Front

What is the equation of a line that passes through the points (5,6) and (2,15)?

Back

The equation is y = -3x + 21.

Front

How do you convert the point-slope form to slope-intercept form?

Back

Distribute the slope and rearrange the equation to isolate y.

Front

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

Back

The slope is -6.

Front

What is the y-intercept of the line y = -3x + 21?

Back

The y-intercept is 21.