Given a graph, Write the Equation

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 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 a graph?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

If a line has a slope of -2/3, what does this indicate about its direction?

Back

A slope of -2/3 indicates that the line descends from left to right.

Front

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

Back

Use the formula y - y1 = m(x - x1), where m is the slope calculated from the two points.

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

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

Front

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

Back

Rearrange the equation Ax + By = C to solve for y, resulting in y = (-A/B)x + (C/B).

Front

What is the significance of the coefficients in the equation y = mx + b?

Back

The coefficient m represents the slope, and b represents the y-intercept.