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:
B. y = -½x + 11
Step-by-step explanation:
Find the slope (m) using two given pairs of values, say, (2, 10) and (4, 9):
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{9 - 10}{4 - 2} = -\frac{1}{2} [/tex]
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