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2 years ago

HELP ILL GIVE U BRAINLIEST 10 POINTSQuestion 9 (1 point)

Mathematics

1 answer:

PtichkaEL [24]2 years ago

8 0

Answer:4

Step-by-step explanation:

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A line passes through the points (–3, –4) and (6, 2). What number is the x-intercept?

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$\bold{METHOD\ 1}$

$\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{x-intercept:}\ (x,\ 0).\\\\\text{Susbtitute the coordinates of the points to the formula of a slope}\\\\(-3,\ -4),\ (6,\ 2),\ (x,\ 0):\\\\m=\dfrac{2-(-4)}{6-(-3)}=\dfrac{2+4}{6+3}=\dfrac{6}{9}=\dfrac{6:3}{9:3}=\dfrac{2}{3}\\\\m=\dfrac{0-2}{x-6}=\dfrac{-2}{x-6}\\\\\text{Therefore we have the equation:}\\\\\dfrac{-2}{x-6}=\dfrac{2}{3}\qquad\text{cross multiply}\\\\2(x-6)=(-2)(3)\\\\2(x-6)=-6\qquad\text{divide both sides by 2}\\\\x-6=-3\qquad\text{add 6 to both sides}\\\\x=3$

$\bold{METHOD\ 2}\\\\\text{Look at the picture.}$

Mark points in the coordinate system.

Lead a line through these points.

Read x-intercept.

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