Unit 5 Test Review

Front

What does it mean for two variables to be proportional?

Back

Two variables are proportional if they maintain a constant ratio. This means that as one variable increases or decreases, the other variable does so in a consistent manner.

Front

If y = 8 when x = 2, what is the constant of proportionality (k) in the equation y = kx?

Back

The constant of proportionality k can be found by rearranging the equation: k = y/x = 8/2 = 4. Thus, the equation is y = 4x.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the slope of a line from its equation?

Back

The slope of a line can be determined from its equation in slope-intercept form (y = mx + b) by identifying the coefficient of x, which is m.

Front

What does a slope of 8 indicate about a line's steepness?

Back

A slope of 8 indicates that for every 1 unit increase in x, y increases by 8 units, making the line quite steep.

Front

What is the relationship between distance, speed, and time?

Back

The relationship is given by the equation d = rt, where d is distance, r is speed, and t is time.

Front

If a train travels at a constant speed of 115 miles per hour, how would you express the distance traveled in terms of time?

Back

The distance d can be expressed as d = 115t, where t is the time in hours.

Front

What does it mean for a line to be steepest among given options?

Back

The steepness of a line is determined by its slope; the larger the absolute value of the slope, the steeper the line.

Front

How can you find the equation of a line given a slope and a point?

Back

You can use the point-slope form of the equation: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.