Respuesta :
The equation of a line in the slope intercept form is expressed as
y = mx + c
where
m represents slope
c represents y intercept
The formula for calculating slope is expressed as
m = (y2 - y1)/(x2 - x1)
From the information given, the line passes through an initial point of (- 9, 6) and (1, 27). This means that
x1 = - 9, y1 = 6
x2 = 1, y2 = 27
By substituting these values into the slope formula, we have
m = (27 - 6)/(1 - - 9) = 21/(1 + 9) = 21/10
We would find the y intercept by substituting m = 21/10, x = - 9 and y = 6 into the slope intercept equation. We have
6 = 21/10 * - 9 + c = - 189/10 + c
c = 6 + 189/10 = 249/10
By substituting m = 21/10 and c = 249/10 into the slope intercept equation, the equation of the line is
y = 21x/10 + 249/10
In decimal form, the equation of the line is
y = 2.1x + 24.9
