Determine the coordinates of each point of intersection without graphing.

a.)
1. \( y = -x + 8 \)
2. \( y = x - 2 \)

b.)
1. \( y = -3x \)
2. \( y = -4x + 2 \)

Basically, just substitute 0 for x and solve for y, and vice-versa. y=-x+8 y-intercept: 8 x-intercept: 8
y=-3x y-intercept: 0 x-intercept: 0
y=x-2 y-intercept: 2 x-intercept: 2
y=-4x+2 y-intercept: 2 x-intercept: 1/2

Answered by LadyCiel | 2024-06-10

To find the coordinates of each point of intersection without graphing, we can solve the given equations simultaneously. The coordinates of the point of intersection for a) and b) are (-4, 12) and the coordinates of the point of intersection for c) and d) are (4/5, -6/5). ;

Answered by abhishekwc2 | 2024-06-19

The points of intersection are (5, 3) for the first system of equations and (2, -6) for the second system. These points can be found by solving each set of equations simultaneously. This involves setting the expressions for y equal and solving for x , followed by finding the corresponding y values.
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Answered by abhishekwc2 | 2024-11-03