Answer:
(-3 , 1)(-2,4) (4,5) (2,0)
Step-by-step explanation:
Rotation around center (x₀ , y₀), counterclockwise rotation θ degree
x₂ = (x₁-x₀)cosθ - (y₁-y₀)sinθ + x₀
y₂ = (x₁-x₀)sinθ + (y₁-y₀)cosθ + y₀
A(-2.4) -> counterclockwise rotation 90°
F(x,y): x = (-2+1)cos90° - (4-2)sin90° + (-1) = -3
y = (-2+1)sin90° + (4-2)cos90° + 2 = 1
F (-3 , 1)
Use the above formula to calculate other 3 points: (-2,4) (4,5) (2,0)
Answer <u>(assuming it can be in slope-intercept form)</u>:
Step-by-step explanation:
1) First, find the slope of the line between the two points by using the slope formula, . Substitute the x and y values of the given points into the formula and solve:
Thus, the slope of the line is .
2) Next, use the point-slope formula to write the equation of the line in point-slope form. Substitute values for
,
, and
in the formula.
Since represents the slope, substitute
in its place. Since
and
represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:
Answer:
D.(-1,-5) and (5,7)
Step-by-step explanation:
I used a graphing tool to graph the two equations together. When graphed, the equations intercept (5,7) and (-1,-5). Therefore, they are the solutions to the system.
Option D should be the correct answer.
