Question

QUESTION 1 : write an equation of the line that is parallel to the equation y=7x-8, that passes through the point (5,-2)?QUESTION 2: write and equation that is perpendicular to y = -2/5x-1 and passes through the point (2,-8)?QUESTION 3: using the point (3,15) what is the equation for the vertical line ?what is the equation for the horizontal line?picture #1 (distance formula picture I'm gonna send )picture #2 (grapth)QUESTION #4 : use the above firgue and the above formulas to answer the following: what is the distance of AB , BC , AND AC in triangle ABC? Is triangle ABC a scalene,isosceles or equilateral? Is triangle ABC acute,obtuse, or right ?

Answer 1

Question 1.

Line parallel to y=7x-8, and passes through (5,-2)

Slope intercept equation:

y= mx+b

Where:

m= slope

b= y intercept

Parallel lines have equal slopes.

So, m= 7

So far:

y= 7x+b

Replace (x,y) by the point given (5,-2) and solve for b:

-2 = 7 (5) +b

-2 = 35 +b

-2-35= b

b = -37

Final equation:

y= 7x-37