Question

Which equation is parallel to y=-3 x + 4 and passes through the point (-3, 4)?1. y-X+52. y=-3 x + 153. y = 5 x + 34. y = -3 x-5

Answer 1

The equation parallel to y = -3x + 4 has the same slope which is -3.

Recall that the general equation of a line is represented as :

`y\text{ = mx +c}`

Where m is the slope of the line

Since the line passes through (-3, 4), we can use the slope formula to find the required equation.

The slope formula is:

`\text{slope = }(y_2-y_1)/(x_2-x_1)`

Substituting we have:

`\begin{gathered} -3\text{ = }(y-4)/(x-(-3)) \\ y-4\text{ = -3(x + 3)} \\ y\text{ = -3x -9 + 4} \\ y\text{ = -3x -5} \end{gathered}`

Answer: Option 4