Writing/Graphing Linear equations all 3 forms

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 find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of 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

Convert the equation 3x - y = 9 to slope-intercept form.

Back

The slope-intercept form is y = 3x - 9.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

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

Back

Rearrange the equation y = mx + b to the form Ax + By = C.

Front

Write the equation of a line with a slope of 2 and a y-intercept of -3 in slope-intercept form.

Back

The equation is y = 2x - 3.

Front

What is the slope of the line represented by the equation y = -4x + 5?

Back

The slope is -4.

Front

Find the y-intercept of the line represented by the equation 2x + 3y = 6.

Back

The y-intercept is 2.