Respuesta :

Answer:

Step-by-step explanation:

1) slope = m = 3

(4 , 2) ;  x₁ = 4 ; y₁ = 2

y - y₁ = m(x  - x₁)

y - 2 = 3(x - 4)

y - 2 = 3x - 4*3

y - 2 = 3x - 12

y  = 3x - 12 + 2

y = 3x - 10     {Slope -intercept form: y = mx + b}

3) (-4 , -2) , (4 , 0)

We have to find the slope

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{0-[-2]}{4-[-4]}\\\\=\frac{0+2}{4+4}\\\\=\frac{2}{8}\\\\=\frac{1}{4}\\[/tex]

m = 1/4  ; (4 , 0)

y - y₁ = m(x  - x₁)

[tex]y - 0 = \frac{1}{2}(x - 4)\\\\y =\frac{1}{2}x - 4 *\frac{1}{2}\\\\y =\frac{1}{2}x - 2[/tex]