What is the equation of the line passing through the points (2, –1) and (5, –10) in slope-intercept form?
2 answers:
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 )
To calculate m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (5, - 10)
m = =
= - 3, hence
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, - 1 ), then
- 1 = - 6 + c ⇒ c = - 1 + 6 = 5
y = - 3x + 5 ← equation in slope- intercept form
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