Question

What is the slope, y-intercept, and linear function?

Answer 1

Slope:
`-(1)/(3)`

y-intercept: (0, 5)

Linear function: y =
`-(1)/(3)x + 5`

Explanation:

To find the slope, use this formula:
`(y2-y1)/(x2-x1)` (you need 2 points)

I'll use (0, 5) and (3, 4):

`(4-5)/(3-0) = -(1)/(3)`

Recall that the y-intercept is the point that lies on the y-axis of the function (in that point, the x-coordinate is 0). When looking at the graph, the only point at which the line intersects the y-axis is (0, 5), so that is your y-intercept. At that point, the x-coordinate is 0.

I'm not sure if the question wants you to put the equation for the linear function in slope-intercept form, but I'm assuming it does since it asked you for the slope and y-intercept. So, to find the equation in slope-intercept form, first recall that slope-intercept form is y = mx + b, where m is the slope and b is your y-intercept. At that point, just plug in your values to get y =
`-(1)/(3)x + 5`

Answer 2

slope = - 1/3

y-intercept = (0, 5)

point-slope form = y - 4 = -1/3 x (x - 3)

Explanation: