Linear Equations Test Review

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 convert the equation 2x + 4y = 8 into slope-intercept form?

Back

Subtract 2x from each side to isolate y: 4y = -2x + 8, then divide by 4: y = -1/2x + 2.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

Find the slope of the line represented by the equation y = -5/3x + 4.

Back

The slope is -5/3.

Front

What is the y-intercept in the equation y = 2/3x - 3?

Back

The y-intercept is -3.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Use the formula: slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

Convert the equation 3x + y = 12 into slope-intercept form.

Back

y = -3x + 12.

Front

If a line has a slope of 2 and passes through the point (1, 3), what is the equation of the line?

Back

Using point-slope form: y - 3 = 2(x - 1) simplifies to y = 2x + 1.