Complete the point-slope equation of the line through (-5,4) and (1,6) Use exact numbers.

Answer 1

To complete point-slope form point and slope must be given.

Problem gives two points so two-point form is used.

(y - 4) / (x + 5) = (6 - 4) / (1 + 5)

Can you simplify and convert to requested form?

Answer 2

slope = "rise over run"

= the difference in y coordinates divided by the corresponding difference in x coordinates

= (6-4)/(1+5) = 2/6 = 1/3

y-6 = (1/3)(x-1) in point slope form

y = x/3 -1/3 +6

y = (1/3)x + 17/3 in slope intercept form

where 1/3 = slope, 17/3 = y intercept

when the linear equation is solved for y

the slope = the coefficient of the x term

and the y intercept = the constant term