Question

Write a linear function for the line with a slope of −5 that passes through the point (7,3) .

Answer 1

y=−5x+38

Explanation:

The linear function can be written in the slope-intercept form
y=mx+b, where
m is the slope and
b is the y-intercept. Given a slope of
−5 and the point
(7,3), you can substitute these values into the equation:
y=−5x+b

Now, plug in the coordinates of the given point
(7,3) to solve for
b:
3=−5(7)+b
Solving for
b:
3=−35+b
b=38
So, the linear function is

y=−5x+38.