Change the equation to slope intercept form and identify the slope and y intercept -8x+2y=6

The answer is:

The slope is: 4

The y-intercept is: 3

The explanation is shown below:

1. The slope intercept form of the linear equation is:

Where is the slope and is the y-intercept.

2. Therefore, keeping the information above on mind, you must solve for y, as following:

Where:

y = 4x + 3

Step-by-step explanation:

We are given an equation of a line: and we are to change it to slope intercept form.

The standard slope intercept form of an equation of a line is:

So changing the given equation to this form.

y = 4x + 3 is the slope intercept form of -8x + 2y = 6 where 4 is the slope and 3 is the y-intercept.

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.