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2 answers:
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Answer:
y-intercept: (0,6)
slope = -2
equation: y = -2x + 6
Step-by-step explanation:
1) First, identify the y-intercept. The y-intercept is the point at which the line intersects the y-axis. We can see that the line crosses the y-axis at (0,6), so that must be it.
2) Now, find the slope. Pick two points from the line. I chose (0,6) and (3,0). Then, substitute the two points' x and y values into the slope formula and solve:
So, the slope is -2.
3) With the found information, use the slope-intercept formula to write the line's equation. Substitute values for the
and
.
represents the slope, so substitute -2 in its place.
represents the y-intercept, so substitute 6 in its place. This gives the following equation: