Math8 Solving Linear Equations

Front

What is the Slope-Intercept Form of a linear equation?

Back

The Slope-Intercept Form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x = 0; it is the point where the line crosses the y-axis.

Front

How do you solve a linear equation in one variable?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

What is the solution to the equation 2(5x - 3) = 14?

Back

The solution is x = 2.

Front

How do you graph a linear equation in slope-intercept form?

Back

To graph a linear equation in slope-intercept form, plot the y-intercept (b) on the y-axis, then use the slope (m) to find another point.

Front

What is the graph of the equation y = -x + 2?

Back

The graph is a straight line with a slope of -1 and a y-intercept of 2.

Front

How do you solve the equation 8y + 3 = 27?

Back

Subtract 3 from both sides to get 8y = 24, then divide by 8 to find y = 3.

Front

What is the solution to the equation x - 3 = -12?

Back

The solution is x = -9.