Respuesta :

Midpoint= (-2.5, 3)

[tex] distance \: = \sqrt{13} [/tex]

Equation:

[tex]y = \frac{2x}{3} + \frac{14}{3} [/tex]

Answer:

[tex]First \: you \: find \: the \: gradient \: of \: the \\ \: line \: using \: the \: formula[/tex]

[tex] \frac{ {y}{2} - y1}{x2 - x1} [/tex]

[tex] \frac{ 4 - 2}{ - 1 - - 4} = \frac{2}{3} = 0.66666666666[/tex]

[tex]Next, use \: the \: equation \: of \: a \: line \: \\ which \: is[/tex]

[tex](y - y1) = m(x - x1)where \: m \: is \: the \: gradient.[/tex]

[tex](y - 4) = 0.66666666666(x - - 1)[/tex]

[tex] = y - 4 = x + 0.66666666666[/tex]

[tex]Therefore,[/tex]

[tex]y = x + 4.66666667[/tex]

Step-by-step explanation:

[tex]Sry \: if \: it \: is \: wrong...[/tex]

[tex]\huge\red{T}\pink{H}\orange{A}{N}\blue{K}\gray{S}........[/tex]