U5D5 Linear Eqn Application

Front

What is a point-slope equation?

Back

A point-slope equation is a linear equation of the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you find the slope between two points?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

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 can you write an equation from a word problem?

Back

Identify the variables, determine the relationship between them, and express it in the form of a linear equation.

Front

What is the significance of the x-intercept in a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis, represented by the value of x when y = 0.

Front

What is a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed, typically in the form ax + by = c.

Front

How do you convert a point-slope equation to slope-intercept form?

Back

To convert, solve for y to get it in the form y = mx + b.

Front

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

Back

The formula is y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What does it mean for a line to be vertical?

Back

A vertical line has an undefined slope and is represented by the equation x = a, where a is a constant.