Question

12. What is the y-intercept of a line parallel to y = 3x – 4 that passes through the point (2, 3)?
A. -4
B. -3
C. 3
D. 9

Answer 1

Option B: The y - intercept of the line is -3

Explanation:

Given that the line is parallel to the line $y=3x-4$ and passes through the point (2,3)

Slope:

Since, the lines are parallel, from the equation $y=3x-4$ the slope of the equation is given by

$m=3$

Equation of line:

The equation of the line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting the point (2,3) and slope $m=3$ in the above formula, we get,

$y-3=3(x-2)$

$y-3=3x-6$

     $y=3x-3$

Thus, the equation of the line is $y=3x-3$

y - intercept :

The y - intercept of the equation of line $y=3x-3$ is the value of y when x = 0

Thus, we have,

$y=3(0)-3$

$y=-3$

Thus, the y - intercept of the equation is -3

Hence, Option B is the correct answer.