Question

Use the substitution method to find the slope and y-intercept.

Answer 1

Answer:

• slope: 4
• y-intercept: 7

Step-by-step explanation:

Substituting the given table values into the desired equation for a line will give two equations in two unknowns. These can be solved for the slope and y-intercept.

Equation we're substituting into:

  y = mx +b

  11 = m(1) +b . . . . . substitute (x, y) = (1, 11)

  15 = m(2) +b . . . . substitute (x, y) = (2, 15)

Subtracting the first equation from the second gives ...

  (15) -(11) = (2m +b) -(m +b)

  4 = m

Substituting this into the first equation gives ...

  11 = 4 +b

  7 = b . . . . . subtract 4

The slope is 4; the y-intercept is 7.

Answer 2

Answer:

y=4x+7

Step-by-step explanation: