8.5I Write Equations in y=mx+b Form

Front

What does the 'm' represent in the slope-intercept form of a linear equation (y = mx + b)?

Back

The 'm' represents the slope of the line, indicating how steep the line is and the direction it goes.

Front

What does the 'b' represent in the slope-intercept form of a linear equation (y = mx + b)?

Back

The 'b' represents the y-intercept of the line, which is the point where the line crosses the y-axis.

Front

How do you determine the slope from an equation in slope-intercept form?

Back

The slope can be determined by identifying the coefficient of 'x' in the equation.

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope is 4.

Front

How can you find the y-intercept from the equation y = -2x + 5?

Back

The y-intercept is the constant term, which is 5 in this case.

Front

What is the equation of a line with a slope of 0?

Back

The equation is of the form y = b, where b is a constant. This represents a horizontal line.

Front

What is the slope of the line represented by the equation y = -3x + 2?

Back

The slope is -3.

Front

How do you write an equation in slope-intercept form given a slope and a point?

Back

Use the point-slope form (y - y1 = m(x - x1)) and rearrange it to slope-intercept form (y = mx + b).

Front

What is the slope of the line represented by the equation y = 1/2x - 3?

Back

The slope is 1/2.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line descends from left to right.