Aline that passes through th epoints (2,3) and (b,7) is parallel to the line y = -2x + 17. find the value of b

b = 0

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = - 2x + 17 is in this form with slope m = - 2

• Parallel lines have equal slopes, hence

slope of line through the 2 points is - 2

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (b, 7)

m = = , hence

= - 2 ( cross- multiply )

- 2(b - 2) = 4

- 2b + 4 = 4 ( subtract 4 from both sides )

- 2b = 0 ⇒ b = 0

2.   2 3/5.

3.   2 1/2.

step-by-step explanation:

6 - 3 2/5

= 6 -   17/5

= 30/5 - 17/5

= 13/5

= 2 3/5 (answer).

5 1/4 - 2 3/4

= 21/4 - 11/4

= 10/4

= 2 1/2 (answer).

answer: (x+2) (x+3) are the binomials for your question : )