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Find the equation of the line that passes through the point (2, -3) and has a sl
Find the equation of the line that passes through the point (2, -3) and has a slope of 4.
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Practice Questions
1 question
Q1
Find the equation of the line that passes through the point (2, -3) and has a slope of 4.
y = 4x - 11
y = 4x + 5
y = 4x - 3
y = 4x + 3
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Using point-slope form, y + 3 = 4(x - 2) simplifies to y = 4x - 11.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the equation of the line that passes through the point (2, -3) and has a slope of 4.
Solution:
Using point-slope form, y + 3 = 4(x - 2) simplifies to y = 4x - 11.
Steps: 7
Show Steps
Step 1: Identify the point and slope. The point is (2, -3) and the slope is 4.
Step 2: Use the point-slope form of the equation of a line, which is y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.
Step 3: Substitute the values into the point-slope form. Here, x1 = 2, y1 = -3, and m = 4. So, it becomes y - (-3) = 4(x - 2).
Step 4: Simplify the equation. This gives us y + 3 = 4(x - 2).
Step 5: Distribute the 4 on the right side: y + 3 = 4x - 8.
Step 6: Isolate y by subtracting 3 from both sides: y = 4x - 8 - 3.
Step 7: Combine the constants on the right side: y = 4x - 11.
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