Maths-

General

Easy

Question

# Find the gradient and y- Intercept of the line

Hint:

### Gradient is also called the slope of the line. The slope intercept form of the equation of the line is y = mx + c, where m is the slope of the line and c is the y-intercept. First we convert the given equation in this form. Further, compare the equation with the standard form to get the slope and the y-intercept.

## The correct answer is: we get Gradient = negative 1 half y-intercept = 7

### Step by step solution:

The given equation of the line is

x + 2y = 14

We need to convert this equation in the slope-intercept form of the line, which is

y = mx + c

Rewriting the given equation, we have

2y = 14 - x

Dividing by 2, we get

Simplifying, we get

Comparing the above equation with , we get

Thus, we get

Gradient =

y-intercept = 7

We need to convert this equation in the slope-intercept form of the line, which is

Rewriting the given equation, we have

Dividing by 2, we get

Simplifying, we get

Comparing the above equation with , we get

Thus, we get

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.

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