a line has a slope of -7 and passes through the point (2, 7). write its equation in slope - intercept form…

a line has a slope of -7 and passes through the point (2, 7). 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 -7 and passes through the point (2, 7). 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 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 línea. Dado que (m=-7) y ((x_1,y_1)=(2,7)), la ecuación es (y - 7=-7(x - 2)).

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

Expandir (y - 7=-7x+14). Luego, sumar 7 a ambos lados: (y=-7x + 14+7).

Answer:

(y=-7x + 21)