Mathematics
Find the equation of the line passing through the point (2, -5) and making an intercept of -3 on the y-axis.
Straight Line Eq
42 Likes
Answer
Let the equation be y = mx + c, where c is the y-intercept and m is the slope.
Since, the line passes through the point (2, -5) hence, the point must satisfy the equation,
⇒ -5 = 2m - 3
⇒ -5 + 3 = 2m
⇒ 2m = -2
⇒ m = -1.
Putting value of m and c in y = mx + c,
⇒ y = -x - 3
⇒ x + y + 3 = 0.
Hence, the equation of the line is x + y + 3 = 0.
Answered By
25 Likes
Related Questions
Find the equation of the straight line passing through (-1, 2) and whose slope is
Given that (a, 2a) lies on the line , find the value of a.
The graph of the equation y = mx + c passes through the points (1, 4) and (-2, -5). Determine the values of m and c.
Find the equation of a straight line whose inclination is 60° and which passes through the point (0, -3).