Answer:
y=5x-3
Explanation:
The slope-intercept form of the equation of a straight line is:
[tex]y=mx+b\text{ where }\begin{cases}m=\text{slope} \\ b=y-\text{intercept}\end{cases}[/tex]
First, determine the slope using any two pair of points: (0,-3) and (1,2)
[tex]\begin{gathered} \text{Slope},m=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ =\frac{2-(-3)}{1-0} \\ m=\frac{5}{1} \\ m=5 \end{gathered}[/tex]
Next, determine the y-intercept:
The y-intercept is the point where x=0.
• From the table, b=-3.
Thus, the required equation is:
[tex]y=5x-3[/tex]
