Linear Equations Flashcard Review Topic 2

Front

What is the x-intercept of the equation 3x + 8y = 24?

Back

(8, 0)

Front

What is the equation of the line in point slope form given the graph with a slope of 5 and passing through the point (4, 20)?

Back

y - 20 = 5(x - 4)

Front

Write the equation of the line that is perpendicular to y=3x+7 and passes through the point (-6, -14).

Back

y = -1/3x - 16

Front

Determine if the lines represented by the equations y=3x+7 and y=3x-2 are parallel, perpendicular, or neither.

Back

Parallel

Front

What is the equation of the line in point slope form given a slope of ⅔ and the point (-4, 7)?

Back

y - 7 = ⅔(x + 4)

Front

Define a linear equation.

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

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

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

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.