Answer:
a) y-intercept of AB is 56/5
b) equation of line CD is:
y = -7/5x + 12
Explanation:
a) If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of AB is ___
We are given the points A(8,0) and point B (3,7)
We need to find y-intercept i.e b
Finding slope of points A and B = y₂ - y₁/x₂ - x₁
=7-0/3-8
=7/-5
= - 7/5
So, finding y intercept b by using equation
y = mx+b
And considering point A (8,0) x = 8 and y = 0 and m = -7/5
0 = 8(-7/5) + b
0 = -56/5 + b
=> b = 56/5
So, y-intercept of AB is 56/5
b) If the coordinates of point D are (5 , 5), the equation of line CD is y = __
Since AB || CD
both will have same slope
i.e m = -7/5
we need to find y-intercept given point D (5,5)
y = mx+b
5 = -7/5(5)+b
5 = -7 + b
=> b = 5+7
=> b = 12
So, equation of line CD is:
y = -7/5x + 12