Respuesta :

todoroxi77
Y=Mx+c
Mx=y2-y1/x2-x1
Mx=-3-4/-4-3=1

Mx=1

Y=x+c (now pick and replace one of the points to find c which the y-intercept)

3=4+c
C=-1

Final answer = y=x-1

I really hope you understand my explanation and if you can give me a brainliest, I would really appreciate it!!
sreedevi102

Answer:

y = x + 1

Step-by-step explanation:

Equation of line : y = mx + b, m = slope, b = y intercept

Find slope, m

[tex]Slope, m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

             [tex]= \frac{-3 - 4}{-4 - 3} \\\\=\frac{-7}{-7}\\\\=\frac{7}{7}\\\\= 1[/tex]

Equation of line : [tex](x_1, y_1) = ( 3, 4 )[/tex]

[ You can choose any set of points from the given points. ]

                 [tex](y - y_1) = m(x - x_1)[/tex]

                 [tex](y - 4 ) = 1 \times ( x - 3)\\\\y - 4 = x - 3\\\\y = x - 3 + 4 \\\\y = x + 1[/tex]

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