Answer:
[tex]\huge\boxed{y=19}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
[tex]m[/tex] - slope
[tex]b[/tex] - y-intercept (0, b)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
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We have two points (5, 19) and (1, 19).
Calculate the slope:
[tex]m=\dfrac{19-19}{1-5}=\dfrac{0}{-4}=0[/tex]
Calculate the y-intercept ([tex]b[/tex]). Substitute [tex]m=0[/tex] and coordinate of the point (1, 19) to the equation of a line:
[tex]19=0\cdot1+b\\\\19=b\to b=19[/tex]
Finally:
[tex]y=19[/tex]
