Mathematics: What is the equation of a line with points -3,-11 and 2,4?

What is the equation of a line with points -3,-11

ladybugys

11.01.2022

y=3x-2

Step-by-step explanation:

$\frac{4-(-11)}{2-(-3)} =\frac{15}{5} =3$

m=3 so using point-slope intercept form

$y-y_{1}=m(x-x_{1} )$

y-4=3(x-2)

3x-6

+4 +4

y=3x-2

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dancekb2

16.10.2020

x = $\frac{16}{3}$

Step-by-step explanation:

The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is

$\frac{6}{6+12}$ = $\frac{x}{16}$ , that is

$\frac{6}{18}$ = $\frac{x}{16}$ ( cross- multiply )

18x = 96 ( divide both sides by 18 )

x = $\frac{96}{18}$ = $\frac{16}{3}$

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