Question

find the equation of the line which is parallel to the line 5 x + 4y = 18 and makes an intercept of 2 units on the x-axis ​

Answer 1

`{ \underline{ \sf{equation \: is : \: y = - (5)/(4) x + 2 }}}`

Explanation:

`y = mx + c \\ 4y = - 5x + 18 \\ y = - (5)/(4) x + (9)/(2)`

since it is parallel, the gradients are the same; m = -5/4

`y = - (5)/(4) x + 2`

Answer 2

y=-5x+2

Explanation:

x intercept=2

points will be (2,0)

slope of given line:

4y=-5x+18

y=mx+c

comparing equation:

m=-5

lines are parallel so given slope is equal to required slope.

using point slope form:

y-0=-5(x-2)

y=-5x+2