Question

I need help To find gradient and y-intercept...

Answer 1

Answer:

a) the gradient of the linear graph is: $\mathbf{\frac{-1}{3} }$

b) the y-intercept of linear graph is -1

Step-by-step explanation:

a) Find the gradient of the linear graph.

The formula used to find gradient is same as slope

$Gradient=\frac{Change \ in \ y \ coordinate}{Change \ in \ x \ coordinate}\\or\\Gradient=\frac{y_2-y_1}{x_2-x_1}$

Take any 2 points from the graph.

I will take: (-3,0) and (0,-1)

Putting values in formula and finding gradient

$Gradient=\frac{y_2-y_1}{x_2-x_1} \\Gradient=\frac{-1-0}{0-(-3)} \\Gradient=\frac{-1}{3}$

So, the gradient of the linear graph is: $\mathbf{\frac{-1}{3} }$

b) Find the y-intercept of linear graph

The y-intercept of linear graph is the value of y at the point where the line crosses the y axis.

So, in the given graph, that point is -1

So, the y-intercept of linear graph is -1