If line passing through (3,-1) with slope 4; find y-intercept.
-13
The equation of a line with slope \(m\) passing through point \((x_1, y_1)\) is \(y - y_1 = m(x - x_1)\).
Substituting the point (3, -1) and slope 4: \(y - (-1) = 4(x - 3)\), so \(y + 1 = 4x - 12\).
Simplifying, \(y = 4x - 13\).
The y-intercept occurs at \(x = 0\), giving \(y = -13\).
Hence, the answer is -13.
Similar Questions
In a triangle PQR, the centroid is at G(1, 2). If the vertices P and Q are at (3, -1) and (-2, 4) respectively, what are the coordinates of vertex R?
What is the reflection of the point (-1, 5) in the line x = 1?
What are the co-ordinates of the centroid of a triangle, whose vertices are A(1, -5), B(-4, 0) and C(3, -4)?
Slope of the line AB is 4/3. Co-ordinates of points A and B are (x, -5) and (2, -3) respectively. What is the value of x?
Which line has slope −1 and passes through (2, 3)?
What is the slope of the line \(7x + 4y = 8\)?
Find the slope of the line perpendicular to \(y = \dfrac{1}{4}x + 7\).
- A triangle has vertices at $A(2,3)$, $B(7,1)$, and $C(4,6)$. What is its area?
What is the equation of the line through (-1, -2) with slope -3?
- What is the minimum distance from the origin (0,0) to a point on the line segment connecting the points A(3, 0) and B(0, 4)?
Important Questions from Coordinate Geometry
Find the co-ordinates of the centroid of a triangle whose vertices are A(1, 4), B(7, 8) and C(10, 12).
- If x² + y² - 16x + 38y + 425 = 0, then the value of x² + y² is:
- If x² + y² - 12x + 18y + 117 = 0, then the value of x² + y² is:
- A geological survey team has established three research stations forming a triangular monitoring zone. The stations are located at coordinates P(2,5), Q(8,1), and R(4,9) on a coordinate grid where each unit represents 1 kilometer. What is the area of the triangular monitoring zone?
- \(A(1, 2)\), \(B(a, -26)\), \(C(13, -14)\) and \(D(6, 14)\) are the vertices of a parallelogram, taken in order, find the value of \(a\).
