A linear plot is used to represent straight line equations. From the plot, we have the following:
- The slope (m) is -2
- The intercept (b) is 3
- The value of y when [tex]x = -3.5[/tex] is 10
From the plot (see attachment), we have the following coordinate points
[tex](x_1,y_1) = (1,1)[/tex]
[tex](x_2,y_2) = (2,-1)[/tex]
The slope (m) is calculated using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{-1-1}{2-1}[/tex]
[tex]m = \frac{-2}{1}[/tex]
[tex]m = -2[/tex]
The intercept (b) is the point where the line crosses the y-axis.
From the attached plot, the graph crosses the y-axis at [tex]y = 3[/tex]
This means that:
[tex]b = 3[/tex]
So, the equation [tex]y = mx + b[/tex] is:
[tex]y = -2x + 3[/tex]
The value of y when [tex]x = -3.5[/tex] is:
[tex]y = -2\times -3.5 + 3[/tex]
[tex]y = 7 + 3[/tex]
[tex]y = 10[/tex]
Hence:
- The slope (m) is -2
- The intercept (b) is 3
- The value of y when [tex]x = -3.5[/tex] is 10
Read more about linear functions at:
https://brainly.com/question/2263981
