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

Step-by-step 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.