graph the function h(x)=3x - 8.

Explanation:

Step1: Find the y - intercept

Set (x = 0). Then (h(0)=3\times0 - 8=-8). So the y - intercept is ((0, - 8)).

Step2: Find some other points

Let (x = 1), then (h(1)=3\times1 - 8=-5), so the point is ((1,-5)). Let (x = 2), then (h(2)=3\times2 - 8=-2), so the point is ((2,-2)). Let (x=-1), then (h(-1)=3\times(-1)-8=-11), so the point is ((-1,-11)).

Step3: Plot the points and draw the line

Plot the points ((0, - 8)), ((1,-5)), ((2,-2)), ((-1,-11)) on the coordinate plane and draw a straight - line passing through them.

Answer:

The graph of the linear function (h(x)=3x - 8) is a straight - line passing through the points ((0, - 8)), ((1,-5)), ((2,-2)), ((-1,-11)) etc. on the given coordinate grid.