Question

The equation of the line passing through the point (
1,2) with the slope 2/5 is
A)4x - 3y + 17 = 0
B)5x + 3y - 11 = 0
C)7x + 2y - 27 = 0
D)2x - 5y + 8 = 0

Answer 1

Solution:-

As we know that,

• If the equation of the line passing through point P(x_1,y_1) having slope 'm' then the formula will be y - y_1 = m(x - x_1).

Where,

• m(slope) = 2/5
• Point(x_1,y_1) = (1,2)

Applying the values,

$\\ \;\;\;\;\;\;\bullet \: \sf{y - y_1 = m(x - x_1)} \\ \\ :\implies\sf{y - 2 = \frac{2}{5}(x - 1)} \\ \\ :\implies\sf{5(y - 2) = 2(x - 1)} \\ \\ :\implies\sf{5y - 10 = 2x - 2} \\ \\ :\implies\sf{2x + 5y + 10 - 2 = 0} \\ \\ :\implies\sf{2x - 5y + 8 = 0}$

• Hence,The equation of the line is 2x - 5y+ 8 = 0.
• Therefore,Option (d) is correct.

__________________________________

Answer 2

• In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=".