Question

The straight line mx = 5y + 4 has the same gradient as the line 7x + 6y + 5 = 0. Find the value of m.​

Answer 1

Answer:

The gradient is the often the British word for slope.

using y=mx+b, the slope of your first line is M/5 and the slope of your second line is -7/6. Since these must be the same, we can set them equal to get

M/5 = -7/6 cross multiply to get

6M=-35

M = -35/6

Hope this helped

Answer 2

Given: The equations of two straight lines mx = 5y + 4 and 7x + 6y + 5 = 0 having the same gradient.

To find: The value of m

Solution: The gradient of a straight line means the slope of the line.

First we find the gradient of the known straight line.

7x + 6y + 5 = 0

⇒ 6y = -7x - 5

⇒ y = -7x/6 - 5/6

Here, the gradient is -7/6.

The equation of the other straight line:

mx = 5y + 4

⇒ 5y = mx - 4

⇒ y = mx/5 - 4/5

According to the question,

m/5 = -7/6

⇒ m = -35/6

Therefore, the value of m is -35/6.