a line has a slope of -2 and passes through the point (-5, 10). write its equation in slope - intercept…

a line has a slope of -2 and passes through the point (-5, 10). write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

a line has a slope of -2 and passes through the point (-5, 10). write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer

Explanation:

Step1: Escribir la ecuación en forma punto - pendiente

La ecuación en forma punto - pendiente es (y - y_1=m(x - x_1)), donde (m) es la pendiente y ((x_1,y_1)) es un punto en la recta. Dado que (m=-2) y ((x_1,y_1)=(-5,10)), la ecuación es (y - 10=-2(x+5)).

Step2: Simplificar la ecuación a la forma pendiente - intersección (y = mx + b)

Expandir (y - 10=-2(x+5)): [ \begin{align*} y-10&=-2x-10\ y&=-2x-10 + 10\ y&=-2x \end{align*} ]

Answer:

(y=-2x)