Writing Linear Equations intercept

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive slope goes up, negative slope goes down).

Front

What is the y-intercept in a linear equation?

Back

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

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

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

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 write the equation of a line given two points?

Back

1. Find the slope using m = (y2 - y1) / (x2 - x1). 2. Use one of the points and the slope to write the equation in slope-intercept form.

Front

What is the equation of the line that passes through (0, -2) and (-5, 3)?

Back

y = -x - 2.

Front

What is the equation of the line that passes through (4, -1) and (0, -3)?

Back

y = ½ x - 3.

Front

What is the equation of the line that passes through (0, -5) and (4, 3)?

Back

y = 2x - 5.

Front

How do you convert a linear equation from standard form 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).