Question

Which of the following is the correct equation for the line that crosses the x-axis at (3,0) and the y-axis at (0, 6)? o y = 2x + 3 o y = 2.x + 6 o y = -2x + 3 o y = -2x + 6

Answer 1

First, we use the points to find the slope

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{6-0}{0-3}=\frac{6}{-3}=-2$

According to the problem, the y-intercept is at (0,6), which means the independent term in the equation is 6.

Hence, the right answer is y = -2x + 6.