Respuesta :
Answer:
D
Step-by-step explanation:
Equation of a line given by the two-point form is:
(y-y1)/(x-x1) = (y1-y2)/(x1-x2)
(y-(-1))/(x-1) = (-1-3) / (1-2)
(y+1)/(x-1) = -4 / -1
y+1 = 4(x-1)
y = 4x-4-1
y = 4x - 5
y-intercept at x=0 is -5
Answer is D.
Solution:
We know that:
- Given points: (1, -1) and (2, 3)
- Slope = 4
Picking any point:
- => (1, -1)
Using point slope form:
- y - y₁ = m(x - x₁)
- y - (-1) = 4(x - 1)
- y + 1 = 4x - 4
- y = 4x - 4 - 1
- y = 4x - 5
Comparing the equation with the formula:
- y = (m)x + (b) and y = (4)x + (-5)
⇒ m = slope = 4
⇒ b = y-intercept = -5