Which equation represents the line that passes through and left-parenthesis 4, StartFraction 7 Over 2 right-parenthesis.?

Answer 1

y = mx + b where m= slope of the line, b= y intercept

7/2 = m(4) + b

b = 7/2 -4m

y = mx +7/2-4m in slope intercept form,

or

y-7/2 = m(x-4) in point slope form

or

2y -7 = mx -4m

mx -2y = 4m-7 in standard form

mx -2y -4m+7 = 0 in general form

when you know the slope, plug that in place of m and then there's a unique line equation

if slope is undefined, the line equation is: x=4, a vertical line

if slope = 0, then the line is y=7/2, a horizontal flat line

if slope = 1

x-2y =-3 is the equation, a line with 45 degree angle to the x axis