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If the coordinates of point C are (5, 5) and the slope of line AC is 1, what is
If the coordinates of point C are (5, 5) and the slope of line AC is 1, what is the equation of line AC? (2021)
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Q1
If the coordinates of point C are (5, 5) and the slope of line AC is 1, what is the equation of line AC? (2021)
y = x
y = 5
y = x + 5
y = x - 5
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Using point-slope form: y - 5 = 1(x - 5) => y = x
Questions & Step-by-step Solutions
1 item
Q
Q: If the coordinates of point C are (5, 5) and the slope of line AC is 1, what is the equation of line AC? (2021)
Solution:
Using point-slope form: y - 5 = 1(x - 5) => y = x
Steps: 7
Show Steps
Step 1: Identify the coordinates of point C, which are (5, 5).
Step 2: Note the slope of line AC, which is given as 1.
Step 3: Use the point-slope form of a line equation, which is: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
Step 4: Substitute the coordinates of point C (5, 5) into the equation: y - 5 = 1(x - 5).
Step 5: Simplify the equation: y - 5 = 1 * (x - 5) becomes y - 5 = x - 5.
Step 6: Add 5 to both sides to isolate y: y = x - 5 + 5, which simplifies to y = x.
Step 7: The final equation of line AC is y = x.
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