Find the equation of a line that goes through the point ( 6, 8 ) and is parallel to the line y = - 4x + 23Question 29Select one:a.y = - 4x + 32b.y = 1 / 4x + 11c.y = 1 / 2x + 32d.y = - 4x + 23

First, we need to understand that parallel lines have the same slope. The given line is in the form y = mx + b, where m is the slope. So, the slope of the given line is -4.

Since the line we're trying to find is parallel to the given line, its slope will also be -4. So, the equation of the line we're trying to find will be in the form y = -4x + b.

Next, we need to find the y-intercept (b). We can do this by substitifying the coordinates of the given point (6,8) into the equation.

So, 8 = -4*6 + b 8 = -24 + b b = 8 + 24 b = 32

Therefore, the equation of the line that goes through the point (6,8) and is parallel to the line y = -4x + 23 is y = -4x + 32.

So, the correct answer is a. y = -4x + 32.