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Sagot :
Answer:
- [tex]\Large\boxed{\sf{y=2x+2}}[/tex]
Step-by-step explanation:
Use the slope formula.
SLOPE FORMULA:
[tex]\Rightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
- y2=(-6)
- y1=(-4)
- x2=(-4)
- y1=(-3)
[tex]:\Longrightarrow \sf{\dfrac{-6-\left(-4\right)}{-4-\left(-3\right)}}[/tex]
Solve.
[tex]\sf{\dfrac{-6-\left(-4\right)}{-4-\left(-3\right)}=\dfrac{-6+4}{-4+3}=\dfrac{-2}{-1}=2}[/tex]
The slope is 2.
Use the slope-intercept form.
SLOPE-INTERCEPT FORM:
[tex]\sf{y=mx+b}[/tex]
- X=slope
- B=y-intercept.
- The y-intercept is 2.
y=2x+2
- Therefore, the final answer is y=2x+2.
I hope this helps, let me know if you have any questions.
[tex]\text{Given that,}\\\\(x_1,y_1) =(-3,-4)~~ \text{and}~~ (x_2,y_2) = (-4,-6)\\\\\text{Slope,}~m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{-6+4}{-4+3} = \dfrac{-2}{-1} =2\\ \\\text{Equation of line,}\\\\~~~~~y-y_1 = m(x-x_1)\\\\\implies y+4=2(x+3)\\\\\implies y =2x+6-4\\ \\\implies y= 2x+2[/tex]
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