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cjulius9437
21.06.2021 •
Mathematics
Determine the equation of the line that passes through (5,2)and has the same y-intercept as y = 3
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Ответ:
y = -0.2(x) + 3
Step-by-step explanation:
One way to find an equation for a line is to find two points and go from there. To find the second point, we can note that the y intercept means when x=0. In the line y=3, y is always 3, so when x=0, y = 3.
Our two points are then (5, 2) and (0,3)
To find the slope, we can use
Using the formula y = mx + b and the slope m = -0.2, plugging into (5, 2) and solving for b, we get
2 = -0.2 (5) +b
2 = -1 + b
add 1 to both sides to isolate the b
b = 3
Our formula is thus
y = -0.2(x) + 3
Ответ:
so the slope (m) is 1
y-y₁ = m (x-x₁)
y- (-5) = 1 (x- (-1) )
y + 5 = 1 (x + 1)
y + 5 = x + 1
y = x + 1 - 5
y = x -4