Writing Linear Equations 2024 Parrish

Front

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

Back

The slope-intercept form of a linear equation is given by the formula y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope from a linear equation in slope-intercept form?

Back

In the slope-intercept form y = mx + b, the slope is represented by the coefficient m.

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

How can you find the equation of a line given a slope and a y-intercept?

Back

You can write the equation directly in slope-intercept form as y = mx + b, substituting the given slope for m and the y-intercept for b.

Front

What is the slope of a line that rises 3 units for every 4 units it runs?

Back

The slope of the line is 3/4.

Front

How do you convert two points into the slope-intercept form of a linear equation?

Back

First, calculate the slope (m) using the formula m = (y2 - y1) / (x2 - x1). Then, use one of the points to solve for b in the equation y = mx + b.

Front

What is the equation of a line with a slope of -5/4 and a y-intercept of 2?

Back

The equation is y = -5/4x + 2.

Front

How do you determine the equation of a line from a table of values?

Back

Identify the slope by calculating the change in y over the change in x between two points, then use one of the points to find the y-intercept.

Front

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

Back

The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.

Front

How can you graph a linear equation given in slope-intercept form?

Back

Start by plotting the y-intercept on the y-axis, then use the slope to determine another point on the line by rising and running from the y-intercept.