Write an equation for a line parallel to: y = 1/2 x + 4 that goes through the point (3, 5)

question 7 options:

y - 5 = 1/2 (x -3)

y - 5 = -2 (x - 3)

y - 3 = 1/2 (x - 5)

y - 3 = -2 (x - 5)

The first option, y - 5 = 1/2 (x -3)

Step-by-step explanation:

If the lines are parallel, that means that the slope is the same and in this case the slope is 1/2. The format of the equations are point-slope form: y-y1=m(x-x1). m stands for the slope so we can eliminate the 2nd and 4th option. x1 and y1 stand for a point (x1, y1). and we can replace that with the given information (3,5). Then we can rewrite the whole equation using the given info. y - 5 = 1/2 (x -3).

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

can you complete your sentence? i could !