What is an equation of a line which passes through (6,9) and is perpendicular to the line whose equation is 4x − 6y = 15?
3
1) y−9=−2(x−6)
2
2) y−9= 3(x−6)
3
3) y+9=−2(x+6)
4) y+9=23(x+6)

Given:

The equation of the line passes through the point (6,9) and is perpendicular to the line whose equation is

We need to determine the equation of the line.

Slope:

Let us convert the equation to slope - intercept form.

From the above equation, the slope is

Since, the lines  are perpendicular, the slope of the line can be determined using the formula,

Therefore, the slope of the equation is

Equation of the line:

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

Substituting the point (6,9) and the slope in the above formula, we get;

Simplifying the terms, we get;

Thus, the equation of the line is

idek

step-by-step explanation: