Question

Write a function for the line with a slope of −14

that passes through the point (4, 5)
.

Answer 1

To write a function for a line with a slope of -14 that passes through the point (4, 5), we can use the point-slope form of a linear equation. Function for a line is y = -14x + 61.

Step-by-step explanation:

To write a function for a line with a slope of -14 that passes through the point (4, 5), we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1).

Given that the slope (m) is -14 and the point (x1, y1) is (4, 5), we can substitute these values into the equation.

So, we have y - 5 = -14(x - 4).

Simplifying the equation, we get y - 5 = -14x + 56.

Finally, we can rearrange the equation to obtain the function form, which is y = -14x + 61.