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The gradient of line perpendicular to AB is: m =

The equation of line passing through point A and perpendicular to AB is

Step-by-step explanation:

The line on the graph passes through the points A (0,6) and B (3,0)

b) Find the gradient of a line perpendicular to AB

First we will find gradient (slope) of AB

The formula used to find Slope is:

We have

Putting values and finding slope:

So, we get slope: m = -2

Now, the gradient of line perpendicular to AB will be opposite to the slope of AB

The gradient of line perpendicular to AB is: m =

c) Find the equation of line passing through point A and perpendicular to AB

The equation of line can be found using slope m = and y-intercept b

We need to find y-intercept b:

Using slope m =  and point A (0,6)

y=mx+b

6= (0)+b

6=0+b

b=6

So, y-intercept is b =6

So, Equation of line with slope m =  and y-intercept b =6 is:

So, The equation of line passing through point A and perpendicular to AB is

lo.lll

step-by-step explanation: