Question

The equation of line s is y − 7 = 10/3(x+1). Line t is parallel to line s and passes through (−6, 6). What is the equation of line t?

Write the equation in slope-intercept form with no spaces. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

Answer 1

Answer: y=10/3x-14

Explanation:

convert y-7=10/3(x+1) into y=mx+b (lope intercept form)

y=10/3x+8

if m= 10/3 and it's parallel that means the slope stays the same

plug in point (-6,6) for (x,y) into y=mx+b to find b (y-intercept)

6=10/3(-6)+b

6= -19.99 +b

b= -13.99= -14

so y=10/3x-14