Answer:
y = -14x + 61
Step-by-step explanation:
y = mx + b
First, we can find the slope by reading the question and plugging in the slope of -14 into a slope-intercept formula.
y = (-14)x + b
Now, we need to find the "b" value. We can plug anything we want in for x and y here, but we want the equation for the line that passes through the the point (4,5). Plug in 4 into the x value and 5 into the y value, and solve for b.
5 = (-14)(4) + b
(Flip the equation, so we can solve for b.)
b = 5 - (-14) (4)
(Multiply.)
b = 5 - -56
(Substitute the double minus for a plus sign and add.)
b = 5 + 56
b = 61
Now, plug in your "b" value into our original equation.
FINAL ANSWER:
y = -14x + 61
