Question

what is the equation in standard form of the line which passes through (4,-2) and has a slope of -3?

Answer 1

A.) x+3y=10
B.) x+3y=-10
C.) 3x+y=10
D.) 3x+y=-10

Answer 2

The equation is given by

y - y1 = m ( x- x1)

m= slope

just plug in the values...

Answer 3

y= mx+ c, slope of -3 is m(gradient)
so y= -3x+c
to find c(x- intercept), sub in the values (4, -2)
-2= -3(4)+ c
so c= 10
therefore the answer is y= -3x+ 10