Write Equation from Graph

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the slope of a line from its equation?

Back

The slope (m) of a line in the equation y = mx + b is the coefficient of x.

Front

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

Back

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

Front

How can you find the equation of a line given two points?

Back

To find the equation of a line given two points (x1, y1) and (x2, y2), first calculate the slope m = (y2 - y1) / (x2 - x1), then use the point-slope form y - y1 = m(x - x1) to find the equation.

Front

What is the slope of a line that rises 3 units for every 1 unit it runs?

Back

The slope of the line is 3, which can be expressed as 3/1.

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y: y = (-A/B)x + (C/B).

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line descends from left to right.

Front

What is the significance of the coefficient of x in a linear equation?

Back

The coefficient of x in a linear equation represents the slope of the line.

Front

How can you identify the slope and y-intercept from the equation y = 2x - 5?

Back

In the equation y = 2x - 5, the slope (m) is 2 and the y-intercept (b) is -5.