What is the slope of the line represented by the data table?
1 answer:
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F = 1.8C + 32
С = -10 ⇒ F = 1.8·(-10) + 32 = 14 ⇒ (-10, 14)
С = 0 ⇒ F = 1.8·(0) + 32 = 32 ⇒ (0, 32)
С = 10 ⇒ F = 1.8·(10) + 32 = 50 ⇒ (10, 50)
С = 20 ⇒ F = 1.8·(20) + 32 = 68 ⇒ (20, 68)
С = -10 ⇒ F = 1.8·(-10) + 32 = 14 ⇒ (-10, 14)
С = 0 ⇒ F = 1.8·(0) + 32 = 32 ⇒ (0, 32)
С = 10 ⇒ F = 1.8·(10) + 32 = 50 ⇒ (10, 50)
С = 20 ⇒ F = 1.8·(20) + 32 = 68 ⇒ (20, 68)
Answer:
y = - x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (4, 2) ← 2 points on the line
m = = -
Note the line crosses the y- axis at (0, 4) ⇒ c = 4
y = - x + 4 ← equation of line