Help plz

6/5

Step-by-step explanation:

If you are looking for the slope of the line it is 6/5 because starting from the origin you rise 6 (go up in this case) and run (go right in this case) 5 from the two points that you were given. The line is also going in an upwards direction so the slope is also positive. If you want to write the slope-intercept form equation you would use the slope intercept formula y=mx+b and plug in your slope (6/5) and your y-intercept, which is just 0 because it is at the origin and you would get y=6/5x or y=6/5x+0.

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.