slope intercept form

Question

(-2,-5) and (2,1) need to write the equation for the line in the point slope form and slope intercept form integrators or simplified fractions for the numbers in the equation integrates or simplified fractions for the numbers

Answer 1

(-2, -5) and (2, 1) have a line through them with the equation

setting slope = slope where slope is "rise over run" = difference in y values divided by difference in x values

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

y-1 = (3/2)(x-2)

y= (3/2)(x-2) +1

y = (3/2)x -3 +1

y = (3/2)x -2 is the equation in slope intercept form, slope = 3/2 and intercept = -2