Answer:
y-intercept is 1
Step-by-step explanation:
We need to find the equation of the line first.
The gradient is found using the formula:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m=\frac{-1-2}{8--4}[/tex]
[tex]m=-\frac{1}{4}[/tex]
So the equation is y = [tex]-\frac{1}{4}[/tex]x + c
To find c we need to substitute the value of x and y into the equation:
-1 = [tex]-\frac{8}{4}[/tex] + c
-1 = -2 + c
1 = c
And c is the y-intercept so it is 1
Answer:
y- intercept = 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (8, - 1) and (x₂, y₂ ) = (- 4, 2)
m = [tex]\frac{2+1}{-4-8}[/tex] = [tex]\frac{3}{-12}[/tex] = - [tex]\frac{1}{4}[/tex], thus
y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, - 1), then
- 1 = - 2 + c ⇒ - 1 + 2 = 1 ← y- intercept
