a line passes through the points (-2, 5) and (3, 10). write its equation in slope - intercept form. write…

a line passes through the points (-2, 5) and (3, 10). write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

a line passes through the points (-2, 5) and (3, 10). write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer

Answer:

$y = x + 7$

Explanation:

Step1: Calcular la pendiente

$m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{10 - 5}{3-(-2)}=\frac{5}{5}=1$

Step2: Encontrar la intersección en y

Usamos la ecuación $y - y_1=m(x - x_1)$ con el punto $(-2,5)$ y $m = 1$. $y-5=1\times(x - (-2))$ $y-5=x + 2$ $y=x + 7$