Question

Write a function for the line with a slope of −14 that passes through the point (4, 5).

hint:Substitute the slope and the coordinates of the given point into the equation y=mx+b, then solve for b.
hint2: The slope is m in y=mx+b.

Answer 1

y = -14x + 61

Explanation:

You need the slope and the y-intercept to write the equation. They give us the slope. We will use the point given (4,5) to find the y intercept. A point is given in the form (x,y)

slope (m) = -14

y = 5 Given from the point (4,5)

x = 4 Given from the point (4,5)

y = mx + b Plug in what we know

5 = -14(4) + b

5 = -56 + b Add 56 to both sides of the equation

61 = b

y = -14x + 61