Math 1 Equation from point + slope and two points

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 slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What is the formula to write the equation of a line given a point and a slope?

Back

The equation can be written as y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

If a line has a slope of 3 and passes through the point (0, 9), what is its equation?

Back

The equation is y = 3x + 9.

Front

What is the equation of a line with a slope of -2 that passes through the point (7, -1)?

Back

The equation is y = -2x + 13.

Front

How do you convert the equation of a line from standard form to slope-intercept form?

Back

Rearrange the equation to solve for y, isolating it on one side.

Front

What is the y-intercept of the line represented by the equation y = 9/5x + 5?

Back

The y-intercept is 5.

Front

What type of line has an undefined slope?

Back

A vertical line has an undefined slope.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.