A line in the xy-plane passes through $(0, 4)$ and $(3, 13)$. Which equation represents this line?
A$y = 3x + 4$
B$y = 4x + 3$
C$y = 3x - 4$
D$y = 9x + 4$
Answer & Solution
Correct answer: A. $y = 3x + 4$
Slope = $(13 - 4)/(3 - 0) = 9/3 = 3$. The y-intercept is given by the first point as 4. So $y = 3x + 4$. (Distractor: 9 is $\Delta y$ alone, not slope.)
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 $x$?Which point $(x, y)$ is a solution to the linear inequality $y < 2x - 3$ in the xy-plane?