Writing Equations of Lines

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 identify the slope in the equation y = 2x + 4?

Back

The slope in the equation y = 2x + 4 is 2.

Front

What is the y-intercept in the equation y = -1/3x + 1?

Back

The y-intercept in the equation y = -1/3x + 1 is 1.

Front

How do you write the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the slope of the line represented by the equation y = 3/5x - 6?

Back

The slope of the line represented by the equation y = 3/5x - 6 is 3/5.

Front

If a line has a slope of -1/3, what does this indicate about the line's direction?

Back

A slope of -1/3 indicates that the line is decreasing; for every 3 units moved to the right, it moves down 1 unit.

Front

What is the first step to convert the equation y = 5/2x - 22 into slope-intercept form?

Back

The equation y = 5/2x - 22 is already in slope-intercept form.

Front

How do you find the y-intercept from the equation y = mx + b?

Back

The y-intercept is the value of b in the equation y = mx + b.

Front

What does the variable 'm' represent in the slope-intercept form?

Back

In the slope-intercept form y = mx + b, 'm' represents the slope of the line.

Front

What is the equation of a line with a slope of 2 that passes through the point (1, 3)?

Back

Using the point-slope form, the equation is y - 3 = 2(x - 1), which simplifies to y = 2x + 1.