Writing Equations from a Graph

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 a graph?

Back

The slope is the rise over run, calculated as the change in y divided by the change in x between two points on the line.

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

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

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

Back

Use the slope formula to find the slope (m) and then use the point-slope form to write the equation.

Front

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

Back

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

Front

What does it mean if a line is vertical?

Back

A vertical line has an undefined slope and can be represented by the equation x = a, where a is the x-coordinate of any point on the line.

Front

What does it mean if a line is horizontal?

Back

A horizontal line has a slope of 0 and can be represented by the equation y = b, where b is the y-coordinate of any point on the line.

Front

How do you convert from standard form to slope-intercept form?

Back

Rearrange the equation Ax + By = C to solve for y, isolating it on one side.