Question

Work out the equation of a line which has a gradient of -2 and passes through the point(1,7)

Answer 1

y = -2x + 9.

Steps:

The equation of a line in slope-intercept form is given by y = mx + c, where m is the gradient or slope and c is the y-intercept.

Given that the slope of the line is -2 and it passes through the point (1,7), you can substitute these values into the equation:

7 = -2*1 + c

7 = -2 + c

Solving for c, we then get c = 7 + 2 = 9.

So, the equation of the line is y = -2x + 9.