Writing rules for linear functions

Answer 1

1. A linear function has the form y = mx + b, where m is the slope and b is the y-intercept.

2. The slope of a linear function determines the steepness of the line. A positive slope goes up from left to right and a negative slope goes down from left to right.

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

4. To graph a linear function, plot the y-intercept on the y-axis and use the slope to find other points on the line. Connect the points to form a straight line.

5. To find the slope of a linear function, use the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

6. To find the x-intercept of a linear function, set y = 0 and solve for x.

7. To find the y-intercept of a linear function, set x = 0 and solve for y.

8. To find the equation of a linear function given two points, use the formula y - y1 = m(x - x1), where m is the slope and (x1, y1) is one of the points on the line.

9. Linear functions are continuous, meaning that there are no breaks or gaps in the line.

10. The domain of a linear function is all real numbers and the range is all real numbers.