Respuesta :

Answer:

x- incept = 14

Step-by-step explanation:

Take any two points and find the slope.

(-94 , 24)   & (-74 , 18)

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\ = \frac{18-24}{-74-[-94]}\\\\=\frac{18-24}{-74+94}\\\\=\frac{-6}{20}\\\\=\frac{-3}{10}\\[/tex]

(-94 , 24) and m = -3/10

Equation of the line:

[tex]y-y_{1}=m(x- x_{1})\\\\y - 24 =\frac{-3}{10}(x - [-94])\\\\y-24 =\frac{-3}{10}(x + 94)\\\\y-24=\frac{-3}{10}x + 94*\frac{-3}{10}\\\\y-24 = -0.3x- 28.2\\\\ y = -0.3x - 28.2 + 24\\\\ y = -0.3x - 4.2[/tex]

At x-intercept y = 0

0 =  -0.3x - 4.2

4.2 = - 0.3x

4.2/-0.3 = x

14 = x

x- incept = 14

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