Question

Question 4 (4 points) (05.02) Two quantities are related, as shown in the table: 2/10 419 68 817 Which equation best represents the relationship? (4 points) O a 1 y = 2x+ 11 NI Ob 1 y = 2x+11 Ос y = 2x + 10 Od y = 2x + 11​

Answer 1

B. y = -½x + 11

Explanation:

Find the slope (m) using two given pairs of values, say, (2, 10) and (4, 9):

`slope(m) = (y_2 - y_1)/(x_2 - x_1) = (9 - 10)/(4 - 2) = -(1)/(2)`

m = -½

Use a point and the slope to find the equation in point-slope form

To do this, substitute (a, b) = (2, 10) and m = -½ into y - b = m(x - a)

Thus:

y - 10 = -½(x - 2)

Rewrite the equation in slope-intercept form

y - 10 = -½x + 1

y = -½x+ 1 + 10

y = -½x + 11