Find the values of X and Y so that the quadrilateral shown is a parallelogram

Step-by-step explanation:

Given

The attached figure

Required

Find x and y

To solve for x, we use:

--- corresponding angles

Collect like terms

Solve for x

To solve for y, we use:

--- opposite angles at diagonal

Collect like terms

Divide both sides by -1/2

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is