CH 5 Algebra Flashcard Review

Front

What is the equation of a line through (-3,-5) and parallel to y = 3x-1?

Back

y = 3x + 4

Front

How do you find the slope of a line given two points, f(0) = -2 and f(8) = 4?

Back

Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - (-2)}{8 - 0} = \frac{6}{8} = \frac{3}{4}

Front

Write an equation given: Slope = 4 & Point (-2, 1)

Back

y = 4x + 9

Front

Write an equation with slope = 6 and point (1,8)

Back

y = 6x + 2

Front

Write the equation of the line containing (6,3) and (4,1)

Back

y = 1x - 3

Front

What is the slope-intercept form of a line?

Back

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

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope = \frac{y_2 - y_1}{x_2 - x_1}

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 convert a point-slope equation to slope-intercept form?

Back

Start with y - y_1 = m(x - x_1) and solve for y.