Question

Find the equation of a straight line joining the point (3,0) with a gradient of 2 and give your answer in general form.

a) 2x - y = 6
b) y = 2x - 6
c) 2x + y = 6
d) y = -2x + 6

Answer 1

The equation of the straight line joining the point (3,0) with a gradient of 2 is y = 2x - 6.

Step-by-step explanation:

To find the equation of a straight line joining the point (3,0) with a gradient of 2, you can use the point-slope form of the equation. The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is the given point and m is the gradient. Plugging in the values, we get y - 0 = 2(x - 3), which simplifies to y = 2x - 6. Therefore, the equation of the straight line is