Write the equation of line in slope-intercept form, which is parallel to y=−2x+5 and passing through the point (1, −4)

y = −2x - 2

Step-by-step explanation:

The new equation has the same form as the given equation y=−2x+5; only the constant (' 5 ') will be different.  Take the x- and y-coordinates of the given point (1, -4) and substitute them into y = -2x +  C to find C:

-4 = -2(1) + C

-2  = C

and therefore the desired equation in slope-intercept form is  y = −2x - 2

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