a line passes through the points (-6, 19) and (7, 19). write its equation in slope - intercept form. write…
a line passes through the points (-6, 19) and (7, 19). 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)=(-6,19)) and ((x_2,y_2)=(7,19)). Then (m=\frac{19 - 19}{7-(-6)}=\frac{0}{13}=0).
Step2: Use the slope - intercept form (y = mx + b)
Substitute (m = 0) and one of the points (say ((x = 7,y = 19))) into (y=mx + b). We get (19=0\times7 + b), so (b = 19).
Answer:
(y=0x + 19) or simply (y = 19)