Factor 48m + 42n to identify the equivalent expressions.two - id48425572551, outlaw93

Question

Mathematics: Factor 48m + 42n to identify the equivalent expressions.two answers

outlaw93 · Accepted Answer

The correct answer (though not listed) is:

y = 21.25x + 10.5

Explanation:

First we find the rate of change, or slope, between successive points. The formula for slope is:

$m=\frac{y_2-y_1}{x_2-x_1}$

Using the coordinates of the first two points, we have:

$m=\frac{95.5-53}{4-2} \\ \\=\frac{42.5}{2} \\ \\=21.25$

Using this same formula, we can see that the rate of change (slope) remais constant throughout the entire data set, so the set is linear.

Next we use point-slope form to write the equation, then transform it by isolating y. Point-slope form is:

y-y_1=m(x-x_1)

Using our slope, 21.25, and the first point (2, 53), we have:

$y-53=21.25(x-2) \\y-53=21.25x-42.5$

To isolate y, add 53 to each side:

y-53+53 = 21.25x-42.5+53

y = 21.25x+10.5

Factor 48m + 42n to identify the equivalent expressions.two answers