4. What is the equation of line passing through (-2,4) and parallel to the line y
+ 3x = 4?

y=-3x-2

Step-by-step explanation:

step 1- find the slope

parallel to means same slope, so look at y+3x=4, its not in the correct slope form so we subtract both sides by 3x to get y=-3x+4, the slope is the coefficient of x which is -3. Slope equals 3

step 2- use the point slope form which is y-y1=m(x-x1)

and substitute in the numbers (only substitute y1,x1, and m)

m is the slope which we found to equal -3

x1 and y1 are the points that they gave us (-2,4) are (x1,y1)

x1=-2

y1=4

step 3- substitute

y-y1=m(x-x1)

y-4=-3(x-(-2))

simplifies to y-4=-3x-6

add 4 to both sides to get y=-3x-2

answer:      

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