The coordinate A=(0,2) lies on a straight line. The gradient of the line is 5 . Using this information, state the equation of the straight line.

The correct answer is: 5x - y + 2 = 0

Step by step solution:
Given,
Slope/ Gradient of the line (m) = 5
Let (a, b) denote the point A lying on the plane.

Then (a, b) = (0, 2)
We know that, the equation of a line with slope m and passing through the point (a, b) is given by

y - b = m(x - a)
Putting the values of m and (a, b) in the above equation, we get

y - 2 = 5(x - 0)
Simplifying, we have

y - 2 = 5x
Taking all the terms on one side and rewriting the above equation, we have

5x - y + 2 = 0
This is the required equation of the line.
 

The student needs to remember all the different forms of equation of a line and what each term and notation signifies in the equation.
Other forms of the equation of a line are, slope intercept form, axis intercept form, normal form, etc.