Semester Test

Front

Find the slope given these points: (1,2) & (3,4)

Back

The slope (m) is calculated as (y2 - y1) / (x2 - x1) = (4 - 2) / (3 - 1) = 1.

Front

Write a linear equation in the form of y=mx+b for a slope of -2 and y-intercept of 3.

Back

The linear equation is y = -2x + 3.

Front

Given the table, write the equation if the slope is 2 and the y-intercept is 6.

Back

The equation is y = 2x + 6.

Front

Find the length of the missing side of a triangle if the other two sides are 30 cm and 40 cm using the Pythagorean theorem.

Back

The length of the missing side is 52 cm.

Front

Solve for x and y in the equations: y = 2/3x - 2 and y = -x + 3.

Back

The solution is (3,0).

Front

What is the formula for calculating the slope of a line?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

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 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line.

Front

What does 'b' represent in the equation y = mx + b?

Back

'b' represents the y-intercept of the line.

Front

How do you find the y-intercept of a linear equation?

Back

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