Question

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

Answer 1

Answer:

1

Step-by-step 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:

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

----------------------------------------------------------------------------------------------------

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