Writing Systems of Two Linear Equations Assignment

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 of a line represent?

Back

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

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It is the value of y when x = 0.

Front

How do you convert an equation to slope-intercept form?

Back

To convert an equation to slope-intercept form (y = mx + b), isolate y on one side of the equation.

Front

What is the significance of the coefficients in a linear equation?

Back

The coefficients in a linear equation determine the slope and the y-intercept of the line. The coefficient of x is the slope, and the constant term is the y-intercept.

Front

How can you determine the slope from a graph?

Back

The slope can be determined by selecting two points on the line, calculating the rise (change in y) over the run (change in x).

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

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

Back

To find the equation of a line given two points, calculate the slope using the formula (y2 - y1) / (x2 - x1), then use one of the points and the slope to write the equation in point-slope form.

Front

What is point-slope form of a linear equation?

Back

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

Front

How do you graph a linear equation?

Back

To graph a linear equation, find the y-intercept, plot it on the graph, then use the slope to find another point and draw the line.