On a coordinate plane, 2 lines intersect at (0, 5). What is the solution of the system of equations? ( , )
2 answers:
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Answer:
Step-by-step explanation:
To find the equation, use the slope-intercept formula:
m is the slope and b is the y-intercept. Now, it'll really help to draw a line through the points, connecting them. If you look at point (0,2), we can see that this is the y-intercept (where a point sits on the y-axis when x=0). You can insert this into the equation by taking the y value:
Now, take any two points to find the slope. To make it easier, I'll use (1,5) and (0,2). Use the slope formula for when you know two points:
Rise over run is the change in the y-axis over the change in the x-axis. Insert values:
Solve:
Since both are negative, the result is a positive:
Insert this into the equation as m, the slope:
Done.
