Answer:
Step-by-step explanation:
which can also be written as:
Compare and contrast between x-intercept and y-intercept
2 answers:
Answer:
"The x-intercept is the point at which the graph crosses the x-axis... ...The y-intercept is the point at which the graph crosses the y-axis." (Lumen)
The x-intercept is on the horizontal axis while the y-intercept is vertical axis. Aside from that they are practically the same and serve the same purpose while graphing, they just go in differing positions.
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Answer:
The system of equations has a one unique solution
Step-by-step explanation:
To quickly determine the number of solutions of a linear system of equations, we need to express each of the equations in slope-intercept form, so we can compare their slopes, and decide:
1) if they intersect at a unique point (when the slopes are different) thus giving a one solution, or
2) if the slopes have the exact same value giving parallel lines (with no intersections, and the y-intercept is different so there is no solution), or
3) if there is an infinite number of solutions (both lines are exactly the same, that is same slope and same y-intercept)
So we write them in slope -intercept form:
First equation:
second equation:
So we see that their slopes are different (for the first one slope = -6, and for the second one slope= -3/2) and then the lines must intercept in a one unique point. Therefore the system of equations has a one unique solution.