Write an equation of the line through the given point with the given slope. Write the equation in​ slope-intercept form.

​(5​, 2​); m​ = -6

1 answer

The equation of a line in slope-intercept form is given by y = mx + b, where m represents the slope and b represents the y-intercept.

We are given the point (5, 2) and the slope m = -6.

Let's substitute the values into the equation to calculate b:

2 = -6(5) + b
2 = -30 + b
2 + 30 = b
b = 32

Now we have the y-intercept b = 32, so the equation of the line is:

y = -6x + 32