Write a rule for the x๐ฅ-intercept if y=mx+c๐ฆ=๐๐ฅ+๐. Your answer will include the pronumerals m๐ and c๐.
Question
Write a rule for the x-intercept if
y = mx + c
Your answer will include the pronumerals m and c.
Solution
The x-intercept of a linear equation is the point where the line crosses the x-axis. At this point, the y-coordinate is 0.
So, to find the x-intercept using the equation y = mx + c, you set y to 0 and solve for x.
Here are the steps:
- Set y to 0 in the equation y = mx + c. This gives you 0 = mx + c.
- Rearrange the equation to solve for x. This gives you -c = mx.
- Divide both sides of the equation by m to isolate x. This gives you x = -c/m.
So, the rule for the x-intercept in terms of m and c is x = -c/m.
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