Least common denominator for a^3/a^2+2a+1 and -3/a^2+8a+7

(a + 1)²(a + 7).

Step-by-step explanation:

The original expression:  

Factor each denominator:

Factor out

Multiply each term by the opposite denominator and add:  

Remove brackets:  

The least common denominator is (a + 1)²(a + 7).

The accurate statement which explains how to determine the slope (m) and y-intercept (b) of a line on a coordinate plane that goes through two points is:

C. To determine the y-intercept, move from the origin vertically to the graphed line. To find the slope, you will use two ordered pairs on the line and substitute into the equation  .

Recall:

The y-intercept is the point at which the graphed line intercepts the y-axis (vertical axis). The y-intercept is the value of y here.

Slope (m) =

You can simply find the y-intercept on a coordinate plane like the one given in the image attached below.

To do this, from the point of origin (0), you have to move towards the graphed line, that's vertically upwards, to the point where the line crosses the vertical axis.

The y-intercept in the graph shown in the image = 2.

To find the slope, use two ordered pairs on the line, i.e., (0, 2) and (1, 5). (see attached image.)

Thus:

Therefore, the accurate statement which explains how to determine the slope (m) and y-intercept (b) of a line on a coordinate plane that goes through two points is:

C. To determine the y-intercept, move from the origin vertically to the graphed line. To find the slope, you will use two ordered pairs on the line and substitute into the equation  .

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