Answer:
[tex]y = \frac{1}{8} x + \frac{13}{4}[/tex]
Step-by-step explanation:
In order to find the line passing between these points you will need to find the slope of the line then substitute one of the points into the slope intercept formula ([tex]y = mx + b[/tex]).
1. To find slope, you need to divide the difference of the y-coordinates of the points and the difference of the x-coordinates of the points.
[tex](\frac{Y_{2}- Y_{1} }{X_{2}- X_{1}} )[/tex]
[tex](\frac{4-3}{6--2} ) = \frac{1}{8}[/tex]
Slope or M = [tex]\frac{1}{8}[/tex]
2. Substitute one of the points (x,y) coordinates into the slope intercept formula. It does not matter which point you plug in you will get the same slope.
Y = mx + b
[tex]3 = \frac{1}{8} (-2) + b[/tex] (multiple 1/8 * -2)
[tex]3 = -\frac{1}{4} + b[/tex] (add 1/4 to both sides)
[tex]\frac{13}{4} = b[/tex]
3. Combine all your answers into an equation:
[tex]y = \frac{1}{8} x + \frac{13}{4}[/tex]
