Answered

Given: AB || CD
If the coordinates of point A are (8,0) and the coordinates of point B are (3,7), the y- intercept of AB is ___. If the coordinates of point D are (5,5), the equation of line CD is y=__x+__.

Verified Answer :

First, find slope of point A and B using slope formula:
y2-y1 = 7-0 = -7
x2-x1    3-8     5

Next, use the point-slope formula to find the equation (pick either point A or B to substitute into this equation; the answer will be the same either way):
y-y1=m(x-x1)
y-7=-7(x-3)   (I used point B here)
        5
y=-7x +56 so the y-intercept is 56. Hurray! Part 1 down!
     5      5                                   5

Now to answer part 2. Since AB ll CD, they have the same slope: -7
                                                                                                         5
Therefore, you can use the handy point-slope equation to calculate the equation of line CD. (Remember you only need one of the points to use this equation if you already have the slope.) Since the only point given is D(5,5), we'll use that one:
y-y1=m(x-x1)
y-5=-7(x-5)
        5
y=-7x + 12 Yay! That's the answer to part 2; the equation of line CD
     5

abidemiokin

The equation of the line CD is AB is paralell to CD is y = -7/5 x +56/5

Equation of a line

The standard equation of a line is expressed as y = mx + b

where

  • m is the slope
  • b is the y-intercept

Since AB || CD, hence the equation of both lnes will be equal

 

Given the coordinate points A(8, 0) and B(3, 7)

Determine the slope

Slope = 7-0/3-8
Slope = -7/5

Determine the y-intercept

0 = -7/5(8) + b
b = 56/5

Hence the equation of the line CD is AB is paralell to CD is y = -7/5 x +56/5

Learn more on equation of a line here: https://brainly.com/question/13763238

#SPJ5

Related Questions