For the equation y = mx + b, if (3, 7) and (-1, -5) are two points on the line, find b.
A-2
B-1
C2
D3
Answer & Solution
Correct answer: A. -2
Slope m = (7-(-5))/(3-(-1)) = 12/4 = 3. Using y = 3x + b with point (3, 7): 7 = 9 + b → b = -2. (Check with second point: -5 = 3(-1) + (-2) = -3 - 2 = -5 ✓.)
Related questions
Given 5.5r + 3b = 37 and 6.5r + 8b = 66, then b equals:If f(x) = 2x + 3, then f(5) equals:The y-intercept is the value of y when x equals:In y = mx + b, the constant m represents the:How many solutions does the system $y = 2x + 5$ and $4x - 2y = 6$ have?A school sold 50 tickets in total. Adult tickets cost ₹200, child tickets cost ₹100, and tIn the system $2x + 3y = 12$ and $4x - 3y = 6$, what is the value of $x$?A line in the xy-plane passes through $(0, 4)$ and $(3, 13)$. Which equation represents th