5.3 Academic Full Flashcard

Front

Write an equation for a line with a slope of 5 that passes through the point (0, 2).

Back

y = 5x + 2

Front

What is the slope-intercept form of the equation y + 2 = –(x - 4)?

Back

y = -x + 2

Front

Graph the equation y + 1 = 3(x - 2). What is the slope and y-intercept?

Back

Slope = 3, y-intercept = -5

Front

Given the equation y + 5 = 4(x + 8), determine a point on the line.

Back

Point: (-8, -5)

Front

Graph the equation y - 3 = -2(x + 4). What is the slope and y-intercept?

Back

Slope = -2, y-intercept = 3

Front

What does the slope of a line represent in a graph?

Back

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

Front

Define 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 find the y-intercept of a linear equation?

Back

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

Front

What is the significance of the point (0, b) in a linear equation?

Back

It represents the y-intercept of the line.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1)