Question

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

Answer 1

a) the gradient of the linear graph is:
`\mathbf{(-1)/(3) }`

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

Explanation:

a) Find the gradient of the linear graph.

The formula used to find gradient is same as slope

`Gradient=(Change \ in \ y \ coordinate)/(Change \ in \ x \ coordinate)\\or\\Gradient=(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=(y_2-y_1)/(x_2-x_1) \\Gradient=(-1-0)/(0-(-3)) \\Gradient=(-1)/(3)`

So, the gradient of the linear graph is:
`\mathbf{(-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