(4,2) and (1,5)

Answer 1

(4,2) and (1,5) have a line through them with slope

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

it's a downward sloping line with equation, at an angle of 45 degrees with the x axis

y-2 = -(x-4)

or

y = -x +6 in slope intercept form, y intercept = (0,6)

x intercept = (6,0)

plot those 2 intercepts, connect them with a straight line

extend the line forever in both directions. That's the graph of the line

through the two points

in standard form the equation is x+y=6