Question

What are the coordinates of the y- intercept of this function y 6 -5 1 2

Answer 1

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

`\frac{y_2-y_1}{x_2\text{ -}x_1}\text{ = }\frac{y\text{ -}y_1}{x\text{ -}x_1}`

Step 2: Select two coordinates that will be substituted into the equation

Selecting the points

(-2, -6) and (-1, -5)

`\frac{-5\text{ -(-6)}}{-1\text{ -(-2)}}\text{ =}\frac{y-(-6)}{x\text{ -(-2)}}`
`(1)/(1)=(y+6)/(x+2)`

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)