Mathematics
The graph of the equation y = mx + c passes through the points (1, 4) and (-2, -5). Determine the values of m and c.
Straight Line Eq
61 Likes
Answer
Since, (1, 4) and (-2, -5) lie on y = mx + c hence, the points must satisfy the equation.
Putting (1, 4) in the equation,
⇒ 4 = m(1) + c
⇒ 4 = m + c
⇒ m = 4 - c (Eq 1)
Putting (-2, -5) in the equation,
⇒ -5 = m(-2) + c
⇒ -5 = -2m + c.
Putting value of m from Eq 1 in above equation,
⇒ -5 = -2(4 - c) + c
⇒ -5 = -8 + 2c + c
⇒ -5 + 8 = 3c
⇒ 3 = 3c
⇒ c = 1.
Putting value of c in Eq 1,
⇒ m = 4 - 1
⇒ m = 3.
Hence, the value of m = 3 and c = 1.
Answered By
34 Likes
Related Questions
Find the value of p, given that the line passes through the point (-4, 4).
Find the equation of the line passing through the point (2, -5) and making an intercept of -3 on the y-axis.
Given that (a, 2a) lies on the line , find the value of a.
Find the equation of the straight line passing through (-1, 2) and whose slope is