Question

What is the slope and y-intercept of the equation represented by the following graph?

Answer 1

Referring the chart I attached, the slope is the ratio of rise to run

So we need to pick two points lying on the line to calculate the slope.

They would be (4,0) and (0,2)


`slope= (rise)/(run) = (\Delta y)/(\Delta x)= (y_2-y_1)/(x_2-x_1) = (2-0)/(0-4) = -(2)/(4) = -(1)/(2)`

That is for the slope

The y-intercept is where the line touches\crosses\intersects the y-axis...

It is clear from the figure that the line crosses the y-axis at (0,2)
so the y-intercept is
`y=2`


I hope that helps! If you still need help, just let me know!