4.1 Writing Equations in Slope-Intercept Form

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope from the equation y = 2x + 3?

Back

The slope is the coefficient of x, which is 2.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

Write the equation of a line with a slope of -3/2 and a y-intercept of 4.

Back

y = -3/2x + 4.

Front

How do you convert the equation 2x + 2y = 6 into slope-intercept form?

Back

Solve for y: 2y = -2x + 6, then y = -x + 3.

Front

What is the y-intercept in the equation y = 5x - 7?

Back

The y-intercept is -7.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal.

Front

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

Back

The slope is -4.

Front

How would you write the equation of a line with a slope of 2/3 and a y-intercept of -3?

Back

y = 2/3x - 3.

Front

What type of slope does a line with the equation y = 3x + 2 have?

Back

It has a positive slope.