slope = 3
equation: y = 3x
Explanation:
usng equation of line: y = mx + c
m = slope, c = y intercept
we find the slope using the formula:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]
We need to pick any two points form the graph:
Using points: (-1, -3) and (1, 3)
[tex]\begin{gathered} x_1=-1,y_1=-3,x_2=1,y_2\text{ = }3 \\ m\text{ =}\frac{3-(-3)}{1-(-1)}=\frac{3+3}{1+1} \\ m\text{ =}\frac{6}{2} \\ slope\text{ = }m\text{ = 3} \end{gathered}[/tex]
The y intercept is the value of y when x = 0
The line of the graph passes the origin (0, 0). As a result, there is no y-intercept.
y = 0 when x = 0
The equation y = mx + c becomes:
y = 3x + 0
y = 3x
