Answer:
The equation of a parallel line in point-slope form would be f(x) = -2/5x - 5
Step-by-step explanation:
To find this, we must first find the slope of the original line. We can do this by solving for y.
2x + 5y = 7
5y = -2x + 7
y = -2/5x + 7/5
Now that we have the slope of the original line, we can use the point and slope and put them into the base form of point-slope form. Then we solve for y to get the final result.
y - y1 = m(x - x1)
y + 3 = -2/5(x + 5)
y + 3 = -2/5x - 2
y = -2/5x - 5
Then to get the function notation, we need to replace the y with f(x).
f(x) = -2/5x - 5
