Question

find the equation of the line that is parallel to y=3x-2 and contains the point (2,11), answer all boxes please

Answer 1

3 , 5

Explanation:

y = 3x + 5

_____________________

11=3(2)+a

11=6+a

11-6=a

5=a

so the answer would be y=3x+5

Answer 2

y = 3x+6

Explanation:

y=3x-2

This is in the form

y = mx+b where m is the slope and b is the y intercept

The slope is 3 so a line parallel also has a slope of 3 since parallel lines have the same slope.

Using slope intercept form

y = 3x+b

We have a point (2,11)

11 = 3*2+b

11 =6+b

11-6 = b

5 =b

The equation is

y = 3x+6