Question

What is the y=mx+b, and how did you do it?

Answer 1

See below

Explanation:

The equation y = mx + b is the slope-intercept form of a linear equation, where:

• y represents the dependent variable (usually plotted on the vertical axis).
• x represents the independent variable (usually plotted on the horizontal axis).
• m is the slope of the line, determining its steepness or incline.
• b is the y-intercept, which is the point where the line crosses the y-axis when x is 0.

For the equation y = x + 3:

The slope (m) is 1 because the coefficient of x is 1.

The y-intercept (b) is 3.

To draw a graph:

To draw a graph using an XY table, we can create a table of x and y values. Choose different x-values, calculate the corresponding y-values using the equation, and then plot those points on a graph. Here's a simple XY table:

`\begin {aligned} x & | y \\ 0 &| 3 \\ 1 & | 4 \\ 2 & | 5 \\ 3 & | 6 \end{aligned}`

Now, we can plot these points on a graph with x on the horizontal axis and y on the vertical axis.

Connect the points to form a straight line.

It should have a 45-degree positive slope, crossing the y-axis at y = 3.