What is the x-intercept of the line?
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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