A line passes through (2, −1) and (4, 5).

Which answer is the equation of the line?

y = 3x - 7

Step-by-step explanation:

Use the equation y = mx + b where y is the y value, m is the slope, x is the x value, and b is the y intercept.

First find the slope between the two points.

Choose a point and plug in the x value, y value, and m (slope) value in the equation to find the y intercept.

I will use the point (2, -1):

y = mx + b

-1 = (3)(2) + b

-1 = 6 + b

b = -7

Reassemble your equation with the slope and y intercept you found:

y = 3x -7

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

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