Answer:
Slope= 1/6 Y-intercept= 1/3
Step-by-step explanation:
1-0=1
4-(-2)=6
Slope = 1/6
y-0= 1/6 (x-(-2))
y-0= 1/6x + 1/3
Y intercept is 1/3
given coordinates: (-2,0) (4,1)
[tex]\sf slope \ formula:\dfrac{y2-y1}{x2-x1}[/tex]
→ [tex]\dfrac{1-0}{4--2}[/tex]
→ [tex]\dfrac{1}{6}[/tex]
equation:
→ [tex]\sf y - 0 = \dfrac{1}{6} ( x- -2)[/tex]
→ [tex]\sf y = \dfrac{1}{6} x + \dfrac{1}{3}[/tex]
To find y-intercept, put x as 0.
→ [tex]\sf y = \dfrac{1}{6} x +\dfrac{1}{3}[/tex]
→ [tex]\sf y = \dfrac{1}{6} (0) +\dfrac{1}{3}[/tex]
→ [tex]\sf y = \dfrac{1}{3}[/tex]
