2- a line passes through (1, –5) and (–3, 7).write an equation for the line in point-slope form. rewrite the equation in slope-intercept form

Hello : let  A(1,-5)    B(-3,7)
the slope is :   (YB - YA)/(XB -XA)
(7+5)/(-3-1)  = -3
an equation is : y=ax+b     a is a slope

y = -3x +b

the line through point  (1,-5) :  -5 = (-3)(1)+b
b =-2
the equation is : y =-3x-2

or : 3x+y= -2

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.