According to the given table, the slope-intercept equation of the line is given by:
[tex]y = -2x + 1[/tex]
The equation of a line, in slope-intercept form, is given by:
[tex]y = mx + b[/tex]
In which:
In this problem, we are given two points, (3,-5) and (-2,5).
- The slope is given by change in y divided by change in x, hence:
[tex]m = \frac{5 - (-5)}{-2 - 3} = -2[/tex]
Hence:
[tex]y = -2x + b[/tex]
Point (3,-5) means that when [tex]x = 3, y = -5[/tex], which is used to find b.
[tex]y = -2x + b[/tex]
[tex]-5 = -2(3) + b[/tex]
[tex]b = 1[/tex]
Hence, the equation of the line is:
[tex]y = -2x + 1[/tex]
A similar problem is given at https://brainly.com/question/24685547
