a line passes through the points (-2, -16) and (4, 20). write its equation in slope - intercept form. write…

a line passes through the points (-2, -16) and (4, 20). 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, -16) and (4, 20). write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer

Explanation:

Step1: Calculate the slope

The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Let ((x_1,y_1)=(-2,-16)) and ((x_2,y_2)=(4,20)). (m=\frac{20-(-16)}{4 - (-2)}=\frac{20 + 16}{4+2}=\frac{36}{6}=6)

Step2: Find the (y) - intercept

Use the slope - intercept form (y = mx + b) and substitute (m = 6), (x = 4), (y = 20) (we could also use the other point). (20=6\times4 + b) (20 = 24 + b) (b=20 - 24=-4)

Step3: Write the equation

Substitute (m = 6) and (b=-4) into (y=mx + b). (y = 6x-4)

Answer:

(y = 6x-4)