Maths-
General
Easy

Question

# What is the gradient of a line parallel to the line whose equation -2x + y = -7 is:

Hint:

## The correct answer is: the gradient of a line parallel to the line whose equation -2x + y = -7 is m = 2.

### Step by step solution:The given equation of the line is-2x + y = -7We convert this equation in the slope intercept form, which isy = mx + cWhere m is the slope of the line and c is the y-intercept.We rewrite the equation -2x + y - 7, as belowy = 2x - 7Comparing with y = mx + c, we get that m = 2Thus, the gradient of line -2x + y = 7 is m = 2.We know that the gradient of any two parallel lines in the xy plane is always equal.Hence, the gradient of a line parallel to the line whose equation -2x + y = -7 is m = 2.

We can find the slope and y-intercept directly from the general form of the equation too; slope =  and y-intercept = , where the general form of equation of a line is ax + by + c = 0. Using this method, be careful to check that the equation is in general form before applying the formula. Here, we have, a = -2, b = 1, so we get