Writing Equations from a Graph

Front

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

Back

The slope-intercept form is given by the equation 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 ratio of the rise (change in y) to the run (change in x) between two points on the line.

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 b in the slope-intercept form.

Front

Write the equation of a line with a slope of -1 and a y-intercept of 4.

Back

y = -1x + 4.

Front

What is the slope of the line represented by the equation y = 3x - 5?

Back

The slope is 3.

Front

How do you convert the equation y = 2x + 1 to standard form?

Back

To convert to standard form, rearrange to get -2x + y = 1 or 2x - y = -1.

Front

What is the equation of a line with a slope of 0?

Back

The equation is y = b, where b is the y-value of the line (horizontal line).

Front

Write the equation of a line that passes through the point (2, 3) with a slope of 1.

Back

y - 3 = 1(x - 2) or y = x + 1.

Front

What does a negative slope indicate about a line?

Back

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

Front

How do you find the y-intercept from a linear equation in standard form?

Back

Set x = 0 in the equation Ax + By = C and solve for y.