Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By = C. (-4,7), (-5,-2)
Choose the equation of the line in the form Ax + By = C.

-9x + y = 43

Step-by-step explanation:

We can put the equation into y = mx + b form first, then change it to Ax + By = C

First, we can find the slope by doing rise/run (y2 - y1) / (x2 - x1)

(-2 - 7) / (-5 + 4)

-9/-1 = 9

We can put this into the equation y = mx + b, along with another point, to find b:

y = mx + b

7 = 9(-4) + b

7 = -36 + b

43 = b

Now, we know the equation will be y = 9x + 43, and we can rearrange this:

Subtract 9x from both sides:

-9x + y = 43 will be the equation of the line

Length of AB = 8.85 cm  (Approx)

Step-by-step explanation:

Given:

BC = 13.5 cm

θ = 41°

Find:

Length of AB

Computation:

Using trigonometric function

Sinθ = Perpendicular / Hypotenuse

Sin41° = AB / 13.5

0.656 = AB / 13.5

Length of AB = 8.85 cm  (Approx)