B. B and D
Explanation:
To check which set of equations has (-3, 0) as its solution, plug in x = -3 and y = 0 into each equation.
For Line B (passing through (-3, 8) and (2, -7)):
y = mx + b
8 = m(-3) + b
-7 = m(2) + b
Solving these equations yields m = -5 and b = -3. Therefore, the equation for Line B is y = -5x - 3.
Plugging in x = -3 and y = 0 into this equation:
0 = -5(-3) - 3
0 = 15 - 3
0 = 12
For Line D (passing through (1, 4) and (-4, -1)):
y = mx + b
4 = m(1) + b
-1 = m(-4) + b
Solving these equations yields m = -1 and b = 5. Therefore, the equation for Line D is y = -1x + 5.
Plugging in x = -3 and y = 0 into this equation:
0 = -1(-3) + 5
0 = 3 + 5
0 = 5
Therefore, Line B and Line D are the equations that have (-3, 0) as a solution.
Four equations are graphed on the coordinate grid:
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Line A passes through the ordered pairs negative 8, 5 and 4, negative 7. Line B passes through the ordered pairs negative 3, 8 and 2, negative 7. Line C passes through the ordered pairs 0, 9 and negative 7, negative 5. Line D passes through the ordered pairs 1, 4 and negative 4, negative 1 and is extrapolated further in the quadrant.
Which set of equations has (−3, 0) as its solution? (1 point)
A. A and B
B. B and D
C. B and C
D. A and D
1 answer