Question

A line passes through the point (−4,5) and has a slope of −6.

Write an equation in slope-intercept form for this line.

Answer 1

y = -6x - 19

Explanation:

We can use y = m x + c to find the equation of the line.

Here,

m ⇒ slope

c ⇒ y - intercept

They have already given the slope of the line.

m = -6

And now we have to find the y - intercept using the given coordinates.

( -4 , 5 ) ⇒ ( x , y )

Let us find now.

y = m x + c

5 = -6 × -4 + c

5 = 24 + c

5 - 24 = c

-19 = c

Now let us write the equation of the line.

y = m x + c

y = -6x - 19