Writing Linear Eq from table, graph & points

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

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

Back

The y-intercept can be found by setting x = 0 in the equation and solving for y. It is the point where the line crosses the y-axis.

Front

What is the y-intercept of the equation y = 3x + 4?

Back

The y-intercept is 4.

Front

How can you write a linear equation from a table of values?

Back

To write a linear equation from a table, identify the slope (change in y/change in x) and the y-intercept (value of y when x=0). Use the slope-intercept form y = mx + b.

Front

What does the term 'slope' mean in the context of a graph?

Back

Slope is the measure of the steepness of a line, calculated as the rise (change in y) over the run (change in x).

Front

If a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

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

Back

To determine the equation of a line given two points, first 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 the point-slope form of a linear equation?

Back

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

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.