The coordinates of the y-intercept of the function can be obtained if we follow the steps below
Step 1: we can get the equation of the graph using the equation below
[tex]\frac{y_2-y_1}{x_2\text{ -}x_1}\text{ = }\frac{y\text{ -}y_1}{x\text{ -}x_1}[/tex]Step 2: Select two coordinates that will be substituted into the equation
Selecting the points
(-2, -6) and (-1, -5)
[tex]\frac{-5\text{ -(-6)}}{-1\text{ -(-2)}}\text{ =}\frac{y-(-6)}{x\text{ -(-2)}}[/tex][tex]\frac{1}{1}=\frac{y+6}{x+2}[/tex]Cross multiplying
y + 6 = x + 2
y = x + 2 - 6
y = x -4
The equation of the line is y = x - 4
The next step is to obtain the y-intercept which is obtained by substituting x = 0 into the equation of the line.
If x = 0
then y = 0 - 4
Hence y = -4
Therefore the coordinates of the y-intercept are (0, -4)
