What is the equation of the line that passes through (6, 1) and is perpendicular to the line y 3x+2? ci) at what angle do the lines y= 6x +4 and y-2x+3 cross?

Answer with explanation:

The equation of any line with slope 'm' and passing through any point is given by

As we know that the general equation of a line with slope 'm' is

Comparing with the given equation we can conclude slope of the given line is

Now we know that the product of slopes of perpendicular lines is -1

Mathematically we can write for perpendicular lines

Thus the slope of the required line is obtained from the above relation since it is given that they are perpendicular

Hence using the given and the obtained values the equation of the required line is

Part b)

The angle of intersection between 2 lines with slopes is given by

Comparing the equations of given lines

with the standard equation we get

Thus the angle of intersection becomes

13cm

step-by-step explanation:

(apex)