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)
where
y2 and y1 are the y coordinates of the initial points on the line.
x2 and x1 are the x coordinates of the initial points on the line.
From the information given, the line passes through the points (0,5) and (7,4). This means that
x1 = 0, y1 = 5
x2 = 7, y2 = 4
By substituting these values into the slope formula,
m = (4 - 5)/(7 - 0) = - 1/7
We would find the y intercept, c by substituting x = 0, y = 5 and m = - 1/7 into the slope intercept equation. We have
5 = - 1/7 * 0 + c
5 = 0 + c
c = 5
By substituting m = - 1/7 and c = 5 into the slope intercept equation, the equation of the line is
y = - x/7 + 5
