Question

What is the gradient of the graph shown?Give your answer in its simplest form.

Answer 1

Answer:

gradient = 1

Step-by-step explanation:

calculate the gradient using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (2, 0) ← 2 points on the line

m = $\frac{0-(-2)}{2-0}$ = $\frac{0+2}{2}$ = $\frac{2}{2}$ = 1

Answer 2

$\underline{\underline{\large\bf{Solution:-}}}$

$\longrightarrow$By observing the graph of the line , we can observes that it intersects x- axis at 2 and y -axis at -2 i.e., it passes through (2,0) and (0,-2) respectively.

$\textsf{The gradient of a line passing through two}$$\sf{given \: points \:(x_1,y_1) \:and \:(x_2,y_2) \: is \:given \: by - }$

$\green{ \underline { \boxed{ \sf{ Gradient =\frac{y_2-y_1}{x_2-x_1}}}}}$

Here,

• $\sf{x_1= 2}$
• $\sf{y_1=0}$
• $\sf{x_2=0}$
• $\sf{y_2= -2}$

Putting Values:-

$\begin{gathered}\\\implies\quad \bf Gradient =\frac{-2-0}{0-2} \\\end{gathered}$

$\begin{gathered}\\\implies\quad \bf \frac{\cancel{-2}}{\cancel{-2}} \\\end{gathered}$

$\begin{gathered}\\\implies\quad \bf 1 \\\end{gathered}$

>>The gradient of the graph shown is 1