4.1b: SIF Given Point and Slope

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 find the y-intercept of a line given a point and slope?

Back

Use the formula b = y - mx, where (x, y) is the point and m is the slope.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

Given the point (2, 5) and slope m = 1/2, write the equation in slope-intercept form.

Back

y = 1/2x + 4.

Front

What is the slope of a line perpendicular to y = -5x + 3?

Back

The slope of a line perpendicular to y = -5x + 3 is 1/5.

Front

How do you convert the equation 2y + 4x = 8 to slope-intercept form?

Back

Isolate y: y = -2x + 4.

Front

What is the y-intercept of the line y = 5x + 7?

Back

The y-intercept is 7.

Front

If a line has a slope of 5 and a y-intercept of -2, what is its equation?

Back

y = 5x - 2.

Front

What is the formula to find the slope between two points (x1, y1) and (x2, y2)?

Back

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