Question
Find the main equation of the line that passes through the point (3,-4) whose slope is 3
219
likes1093 views
Answer to a math question Find the main equation of the line that passes through the point (3,-4) whose slope is 3
Sigrid
4.5120 Answers
Given a point (3, -4) and a slope \( m = 3 \), we can use the point-slope form of the equation of a line, which is
y - y_1 = m(x - x_1)
Substituting \( x_1 = 3 \), \( y_1 = -4 \), and \( m = 3 \) into the equation, we get:
y - (-4) = 3(x - 3)
Simplify the equation:
y + 4 = 3x - 9
Subtract 4 from both sides to isolate \( y \):
y = 3x - 13
Therefore, the main equation of the line is:
y = 3x - 13
Substituting \( x_1 = 3 \), \( y_1 = -4 \), and \( m = 3 \) into the equation, we get:
Simplify the equation:
Subtract 4 from both sides to isolate \( y \):
Therefore, the main equation of the line is:
Frequently asked questions (FAQs)
Let a and b be two numbers. What is the sum of their squares (a^2 + b^2) if their product is 24 (a * b)?
+
What is the median of a set of numbers: 3, 5, 7, 9, 11?
+
Math question: Find the length of side c in a triangle with angle A = 60°, angle B = 45°, and side a = 8 units. (
+
New questions in Mathematics