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Answer:
y-intercept: (0, -2)
Step-by-step explanation:
Determine by how much x (the run) and y (the rise) change as you go from (-4, -6) to (3, 1): The change in x is 7 and that in y is also 7. Thus, the slope is
m = 7/7, or m = 1.
Using the point-slope form and the point (3, 1), we get:
y - 1 = 1(x - 3), or y = 1 + x - 3, or y = x - 2
Comparing this to y = mx + b, we see that the y-intercept is -2.
Answer:
y = - 3x + 5
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 ) = (3, - 4) and (x₂, y₂ ) = (1, 2)
m =
=
= - 3, thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 2), then
2 = - 3 + c ⇒ c = 2 + 3 = 5
y = - 3x + 5 ← equation of line