Maths-
General
Easy

Question

# A line passes through the points (-6, 4) and (-2,8). Where does the line intersect the X-axis and the Y-axis? Application Hint:

## The correct answer is: Equation of the given line is y = x + 10 and this line intersects the x-axis at (-10,0) and y-axis at (0,10).

### Step-by-step solution:-The given line passes through the point (-6,4) & (-2,8).Hence, x1 = -6, y1 = 4, x2 = -2 & y2 = 8 (y-y1) = (y2-y1) × (x-x1) (x2-x1)∴ (y-4) = (8-4) × [x- (-6)] [-2 - (-6)]∴ y - 4 = 4 × (x + 6) -2 + 6∴ y - 4 = 4 × (x + 6) 4∴ y - 4 = 1 × (x + 6)∴ y - 4 = x + 6∴ y = x + 6 + 4∴ y = x + 10 ............................................ (Equation i)We need to find the point at which the given line intersects x-axis & y-axis i.e. we need to find the x-intercept and y-intercept of the given line.X-intercept is the point at which y-coordinate is 0.∴ we substitute y = 0 in Equation i- y = x + 10∴ 0 = x + 10-10 = xY-intercept is the point at which x-coordinate is 0.∴ we substitute x = 0 in Equation i- y = x + 10∴ y = 0 + 10∴    y = 10  #### With Turito Foundation. #### Get an Expert Advice From Turito.  