Writing Equations Review

Front

What is the equation of a line with a slope of 1 and a y-intercept of 5?

Back

y = x + 5

Front

How do you write an equation from a table showing a linear relationship?

Back

Identify the slope and y-intercept from the table values.

Front

If Sophia earns $12 per hour, how do you express her total earnings, d, in terms of hours worked, h?

Back

d = 12h

Front

What equation relates Alexia's score, a, to Malik's score, m, if Alexia scores 30 points more than Malik?

Back

a = m + 30

Front

What is the equation that represents a direct variation where y varies directly with x and the constant of variation is 4.2?

Back

y = 4.2x

Front

Define slope in the context of a linear equation.

Back

Slope is the ratio of the change in y to the change in x, representing the steepness of the line.

Front

What does the y-intercept represent 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.

Front

How can you determine the slope from two points on a line?

Back

Slope (m) = (y2 - y1) / (x2 - x1) using the coordinates of the two points.

Front

What is the general form of a linear equation?

Back

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

Front

If a line has a slope of 0, what does that indicate about the line?

Back

The line is horizontal, meaning there is no change in y as x changes.