Daily Grade-Friday, Dec. 13th

Front

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

Back

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

Front

How many solutions does the equation 1/2x + 2 = 3x + 2 have?

Back

One Solution

Front

Solve for m: 5(5m + 3) = 17(2m + 3)

Back

m = -4

Front

Solve for x: 2x + 5 = 12

Back

x = 3.5

Front

Solve for x: 4x + 1 = 7x - 5

Back

x = 2

Front

What does the slope of a line represent?

Back

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

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the value of y when x = 0.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

What is the difference between one solution, no solution, and infinite solutions?

Back

One solution means the lines intersect at one point, no solution means the lines are parallel, and infinite solutions mean the lines coincide.

Front

How do you isolate a variable in an equation?

Back

Use inverse operations to get the variable alone on one side of the equation.