Write the equation of a line in point-slope form that is parallel to the line y = 3x +6 and passes through the point (-5, 8).

Slope = 3
(-5, 8)

y - 8 = 3 (x + 5)
this is point slope form

y - 8 = 3x + 15
y = 3x + 23

A line that is parallel will have the same gradient. So far the equation is y=3x+c. To work out c, you substitute in your coordinate it passes through.

8=(3 times -5)+c
8=-15+c
C= -7

So the answer is y=3x-7. Hope that helps!

When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. if you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.