Find the equation of the line with gradient 3 passing through point (2,5)

Given:

A line passing through point (2,5) with gradient 3.

To find:

The equation of the line.

Solution:

Point slope form: if a line passes through the point and m is the slope or gradient, then the equation of line is

Adding 5 on both sides, we get

Therefore, the equation of the line is .

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.

sorry man i accidentally pressed yes my bad

step-by-step explanation: