Find the equation of the linear function p that has p(18)=10 and that is parallel to g(c)=2/3c+26

Answer 1

Parallel lines have the same slope. Therefore, line p(18)=10 and line g(c)=2/3 C+26 have the same slope of 2/3.

Apply slope m=2/3, and point (x=18, p=10) to line function p, we will find the y-intercept of the line p function

10=2/3 * 18 + b,

solve for b:

b=-2

Substitute m=2/3 and b=-2 to slope-intercept form of the p function for the linear equation we are looking for:

p(x)=(2/3)x - 2

Answer 2

Slop is 2/3

y = 2/3 x + b. Put (18, 10)

10 = 2/3( 18) + b

solve for b then write the equation

10 = 12 + b

b = -2

y = 2/3 x + b