Answer:
y = 5x + 7
Step-by-step explanation:
The slope-intercept form of a linear function is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. We're given the y-intercept as 7, so the equation looks like this so far: y = mx + 7.
Next, we have to find the slope using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] and pick any two points. I'll pick (0,7) and (1,12).
- [tex]\frac{12-7}{1-0}[/tex]
- [tex]\frac{5}{1}[/tex]
- [tex]5[/tex]
This means that m = 5, therefore, making the equation y = 5x + 7.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
