Answer:
point - slope form: y+1 =2(x+2)
slop - intercept form: y =2x +3
standard form : 2x -y = -3 or -2x+y = 3
Explanation:
find slope from given points using slope formula y₂ -y₁ / x₂ -x₁
slope m =5-(-1)/1-(-2) =6/3 =2
point - slope form is y - y₁ =m (x - x₁) where x₁ and y₁ are coordinates of one of the given points so
y - (-1) = 2(x -(-2))
y+1 =2(x+2)
slop - intercept form is y =mx +b where m is a slope and b is y intercept
now if you rearrange y+1 =2(x+2) as y =......
y+1 =2(x+2) → y+1=2x+4 → y = 2x+4-1 → y =2x +3
standard form is Ax +By = C where A,B,C are numbers; then by rearranging the equation again, it will be
2x -y = -3
graphing is done by using slop - intercept form: y =2x +3
pick 2 points and draw the line; use given points