Answer:
a) the gradient of the linear graph is: [tex]\mathbf{\frac{-1}{3} }[/tex]
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
[tex]Gradient=\frac{Change \ in \ y \ coordinate}{Change \ in \ x \ coordinate}\\or\\Gradient=\frac{y_2-y_1}{x_2-x_1}[/tex]
Take any 2 points from the graph.
I will take: (-3,0) and (0,-1)
Putting values in formula and finding gradient
[tex]Gradient=\frac{y_2-y_1}{x_2-x_1} \\Gradient=\frac{-1-0}{0-(-3)} \\Gradient=\frac{-1}{3}[/tex]
So, the gradient of the linear graph is: [tex]\mathbf{\frac{-1}{3} }[/tex]
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
