I'm trying to figure out how to solve for something like this.

Question

​Line ℓ is parallel to the line y=2x−1 and contains​the point (8,3). For which value of y is (6,y) on​line ℓ ?​​

Answer 1

a parallel line has the same slope. slope = the coefficient of the x term when the equation is solved for y

slope = m = 2

general form of a linear equation in slope y intercept form is

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

y = 2x + b

plug in the point (8,3) x=8, y=3

3 = 2(8) + b

b = 3-16 = -13

the parallel line through the point (8,3) is

y=2x-13

if (6,y) is on the line then

y=2(6)-13

y= 12-13

y=--1

(6,y) is (6,-1)