Question

# Determine the gradient and y-intercept from the following equation: 4x + y = -10

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, we compare the equation with the standard form to get the slope and the y-intercept.

## The correct answer is: Gradient = -4 y-intercept = -10

### Step by step solution:

The given equation of the line is

4x + y = -10

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

y = mx + c, where m is the slope of the line and c is the y – intercept.

Rewriting the given equation, that is, keeping only the term containing y in the left hand side, we get

y = -4x - 10

Comparing the above equation with y = mx + c, we get

m = -4 ;c = -10

Thus, we get

Gradient = -4

y-intercept = -10

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

y = mx + c, where m is the slope of the line and c is the y – intercept.

Rewriting the given equation, that is, keeping only the term containing y in the left hand side, we get

Comparing the above equation with y = mx + c, we get

Thus, we get

Gradient = -4

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.

### Related Questions to study

### Use the product of sum and difference to find 32 × 28.

This question can be easily solved by using the formula

(a + b)(a - b) = a2 - b2

### Use the product of sum and difference to find 32 × 28.

This question can be easily solved by using the formula

(a + b)(a - b) = a2 - b2