Question

Write in slope-intercept form an equation of the line that passes through the given points.

Answer 1

Find m or the slope of the two coordinates first.

M = y2-y1 / x2-x1

= 5 - (-1) / 1 - (-1)

= 6 / 2

= 3

Now that you have the slope, we can use the equation of a line which is :

y - y1 = m(x - x1)

Substitute any coordinate.

I'll go with (1, 5)

y - 5 = 3(x - 1)

y - 5 = 3x - 3

y = 3x + 2

And that's the equation in the slope intercept form or y=mx+b.