ANSWER
See explanation
EXPLANATION
The table contains these two points (-4,-3) and (2,-4.5)
The slope of this line is given by;
[tex]m = \frac{rise}{run} [/tex]
[tex]m = \frac{ - 4.5 - - 3}{2 - - 4} = \frac{ - 1.5}{6} [/tex]
[tex]m = - \frac{1}{4} [/tex]
The y-intercept can be obtained by finding the equation of the line in the form:
[tex]y = mx + c[/tex]
We plug in the slope and the point (-4,-3) to find c.
This implies that,
[tex] - 3 = - \frac{1}{4} \times - 4 + c[/tex]
[tex] - 3 = 1 + c[/tex]
[tex]c = - 3 - 1 = - 4[/tex]
Hence the y-intercept is -4.
The given line is
[tex]y = \frac{3}{2} x + 1[/tex]
This is already in the slope intercept form:
The slope is
[tex]m = \frac{3}{2} [/tex]
The y-intercept is c=1
