Need help ASAP for my homework assignment!! If you answer right Ill mark you Brainliest!!

Answer:
y + 1 = [tex]\frac{3}{4}[/tex](x - 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (5, 2)
m = [tex]\frac{2+1}{5-1}[/tex] = [tex]\frac{3}{4}[/tex]
Using (a, b) = (1, - 1), then
y - (- 1) = [tex]\frac{3}{4}[/tex](x - 1), that is
y + 1 = [tex]\frac{3}{4}[/tex](x - 1)
The slope of the line is 3/4
Step-by-step explanation:
The equation of a line passing through (x1, y1) and (x2, y2)
[tex]\frac{y-y1}{x-x1 }= \frac{y2-y1}{x2-x1} }[/tex]
From given point (1, -1) and (5, 2)
[tex]\frac{y-(-1)}{x-5} = \frac{2-(-1)}{5-1}[/tex]
or, [tex]\frac{y+1}{x-5} =\frac{3}{4}[/tex]
Hope it helps you