Question

What is the gradient of the graph shown below. Give answer in simplest for

Answer 1

1

Explanation:

Choose two points on the line: (-5, 0) and (0, 5)

Let the first point
`(x_1,y_1)` = (-5, 0)

Let the second point
`(x_2,y_2)` = (0, 5)

Use the gradient formula:

`\textsf{gradient}=(y_2-y_1)/(x_2-x_1)=(5-0)/(0-(-5))=1`

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If you want to find the equation of the line, use the point-gradient form of a linear equation:
`y-y_1=m(x-x_1)`

(where
`m` is the gradient and
`(x_1,y_1)` is a point on the line)

Substituting the values into the formula:

`\implies y-0=1(x-(-5))`

`\implies y-0=x+5`

`\implies y=x+5`

Therefore, the equation of the line is y = x + 5