Hello!
[tex]slope = 2\\\\y-intercept = (0, 3)\\\\Equation: y = 2x + 3[/tex]
We can find the slope using the slope formula:
[tex]slope = \frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex]
Plug in any two points from the table. We can use (0, 3) and (1, 5):
[tex]slope = \frac{5 - 3}{1-0}[/tex]
[tex]slope = 2[/tex]
Now, we can find the y-intercept by finding the y-value at which x = 0.
According to the table, when x = 0, y = 3. Thus, the y-intercept is:
[tex](0, 3)[/tex]
We can write an equation using the slope and y-intercept in the format
y = mx + b where "m" is the slope and "b" is the y-intercept.
Plug in the solved values into the equation:
y = 2x + 3.
**Graphed below**
