Question

100 POINTS) a linear function passes through (3,10) and 6,8 what is the slope,m, of the function?

Answer 1

To find the slope, m, of a linear function that passes through two points, (x1, y1) and (x2, y2), we can use the following formula:

m = (y2 - y1) / (x2 - x1)

In this case, the two points are (3, 10) and (6, 8), so we have:

x1 = 3

y1 = 10

x2 = 6

y2 = 8

Substituting these values into the formula, we get:

m = (8 - 10) / (6 - 3) = -2 / 3

Therefore, the slope of the linear function is -2/3.

Answer 2

Check the explanation.

Explanation:

As the graph of a linear function f passes through the point (-2,-10) and has a slope of 5/2.

As the slop-intercept form is given by:

where m is the slope and b is the y-intercept.

substituting the values (-2, -10) and m = 5/2 in the slop-intercept form to determine y-intercept.

And the equation of the line in the slope-intercept form will be:

putting b = -5 and slope = m = 5/2

Determining the zero of function.

As we know that the real zero of a function is the x‐intercept(s) of the graph of the function.

so let us determine the value of x (zero of function) by setting y = 0.

Therefore, the zeros of the function will be:

x = 2