Question

This line has a slope
of -3 and passes
through the point
(4, -10)

Answer 1

y+10=-3(x-4)

Explanation:

to understand this

you need to know about:

• linear equation i.g point-slope form
• PEMDAS

given:

slope or m=-3

(x1,y1)=(4,-10)

to find:

point-slope form of linear equation

let's solve:

point-slope form of a linear equation is

y-y1=m(x-x1)

`first \: step \colon \: \\ substitute \: the \: given \: values \: of \: m \: and \: (x,y) = (4,- 10)`

`y - ( - 10) = - 3(x - (4))`

`last \: step \colon \: simplify`

`y + 10 = - 3(x - 4)`

Answer 2

Explanation:

y= mx+c

-10= -3 x 4 +c

-10= -12 +c

c= 2

then, y= -3x+2 would be the answer, if you were wanting the equation of the line.