Linear Equations Review 2023

Front

What type of slope do vertical lines have?

Back

Undefined Slopes

Front

Write the equation of the line in point-slope form for a line with slope 2/3 passing through the point (3, 1).

Back

y - 1 = 2/3(x - 3)

Front

How do 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

Calculate the slope of the line that passes through the points (2, 4) and (6, 12).

Back

2

Front

Find the x-intercept of the equation 3x + 8y = 24.

Back

(8, 0)

Front

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

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

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

Back

y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

What is the significance of the x-intercept in a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis (y=0).