A line passes through the point (4,3) and intercepts the x-axis at 8. Find its y-intercept.
6 units
The line meets the x-axis at 8, so it passes through (8, 0) as well as (4, 3).
Slope of the line: \(m = \frac{3 - 0}{4 - 8} = -\frac{3}{4}\).
Equation through (8, 0): \(y - 0 = -\frac{3}{4}(x - 8)\).
The y-intercept is the value of y at x = 0: \(y = -\frac{3}{4}(0 - 8) = 6\).
Check with intercept form \(\frac{x}{8} + \frac{y}{6} = 1\): \(\frac{4}{8} + \frac{3}{6} = 1\), so (4, 3) lies on it.
Hence, the answer is 6 units.
Similar Questions
The midpoint of a line segment joining two points P(-14, 4) and Q(2, -4) is:
A(2,3), B(4,7)and C(6,11) are three points in a plane. Choose the correct statement.
The point P(4,5) divides AB internally in the ratio 1:1, where A(2,3) and B(x,y). What are the coordinates (x,y)?
Important Questions from Co-ordinate Geometry
In which ratio the point (-3, p) divides the line segment joining the points (-5, -4) and (-2, 3)?
In which quadrant both abscissa and ordinate are negative?
Find the slope of the line joining the points (3, -4) and (5, 2).
A1 (x1, y1), A2 (x2, y2), A3 (x3, y3) and A4 (x4, y4) are 4 points, p1 divides A1A2 in the ratio 1 ∶ 1, p2 divides P1A3 in the ratio 1 ∶ 2, P3 divides p2A4 in the ratio 1 ∶ 3. Then the coordinates of p3 are:
If (3, 2) are coordinates of the centroid of a triangle, whose vertices are (0, 4), (-2, 0) and (p, 2), then find the value of p.
