Show your work, this is a homework and I am force to show work. A line passes through the points (-1/2,1) and has a slope of 2.

Write in slope intercept-form, how do you know.

The line also passes through the point (-8,k). Find the value of K

x2, y2)

To find slope, m, given two points, (-1, 2) and (3, 4)

m = (y2 - y1)/(x2 - x1)

Once you have the slope (did you get 1/2?), you're ready to find the y-intercept. Use the slope-intercept equation of a line and either point.  I'd choose point #2 since they are positive numbers, but it doesn't matter which point you use.

y = mx + b  <-- use x2 = 4 and y2 = 3

3 = 1/2(4) + b  <-- solve for b

3 = 2 + b

1 = b

Rewrite the slope-intercept equation of a line replacing m = 1/2 and b = 1.

y = mx + b

im not sure

step-by-step explanation:

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