What is the Graph of this y = mx + c Equation | What is the Eqaution of a straight line with a Slope intercept

    

     The equation (y = mx + c) represents a linear equation in the slope-intercept form, where:

- (y) is the dependent variable (usually representing the vertical axis in a graph),

- (x) is the independent variable (usually representing the horizontal axis),

- (m) is the slope of the line,

- (c) is the y-intercept (the value of (y) when (x = 0).

The graph of this equation is a straight line with a slope (m) and a y-intercept "c". Here's how different values of (m) and (c) affect the graph:

1. **Slope ("m"):**

   - If (m > 0), the line slopes upward from left to right.

   - If (m < 0), the line slopes downward from left to right.

   - If (m = 0), the line is horizontal.

2. **Y-Intercept "c":**

   - The y-intercept "c" is the point where the line intersects the y-axis. If "c" is positive, the intercept is above the origin; if "c" is negative, the intercept is below the origin.

To graph the equation, you can plot the y-intercept first and then use the slope to determine a second point, or you can use two points to draw the line.

In summary, the graph of (y = mx + c) is a straight line whose slope and y-intercept determine its characteristics.