Question

Work out the equation of the line which has a gradient of 1/2 and passes through the point (4, -2).​

Answer 1

Answer:

The equation of the line having gradient 1/2 and passing through the point (4, -2) is x - 2y = 8

Step-by-step explanation:

We know that the equation of a line is y = mx + c

Here, m=1/2

As the line passes through (4, -2), these points will satisfy the equation of the line.

=> -2 = (1/2)*4 + c

=> -2 = 2 + c

=> c = -4

Finding the equation of line with gradient 1/2 and c = -4

=> y = (1/2)*x + (-4)

=> y = x/2 - 4

=> 2y = x - 8

=> x-2y =8

Therefore, the equation of the line having gradient 1/2 and passing through the point (4, -2) is x - 2y = 8