Xavier had some basketball cards. He purchased 7 more. Write an expression describing the total amount he had.
1 answer:
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Write an equation for the line that passes through (0, 1) and has a slope of 2 (in point-slope form).
<u>Point-slope form</u>:-
Substitute 1 for y₁, 2 for m, and 0 for x₁:-
So we conclude that Option B is correct.
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Answer:
Second option: One solution. Independent.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Since the equations of the system have this form, we know that they are lines.
We can identify that the y-intercept of the first equation is:
Now we need to find the x-intercept. Substitute and solve for "x":
Then, we can graph the first line which passess through the points (0,1) and (0.2,0). Observe the graph attached.
The y-intercept of the second equation is:
Now we need to find the x-intercept. Substitute and solve for "x":
Then, we can graph the second line, which passess through the points (0,-2) and (-1,0).
You can observe in the graph that the lines intersect at the point (1,-4). Therefore, that point is the solution of the system of equations.
Since the lines intersect, then there is one solution that is true for both equations. It is independent
