Question

Ts Graph the line whose x-intercept is 5 and whose y-intercept is 3

Answer 1

The equation of line whose x-intercept is 5 and whose y-intercept is 3

is given as 5 y + 3x = 15.

Explanation:

Here, the given x - intercept = 5.

⇒ The point on the given equation is (x,0) = (5,0)

And, the y- intercept is given as 3

⇒ The point on the given equation is (0,y) = (0,3)

So, the two points given on the equation of line is A(5,0) and B(0,3)

Now, the slope of the line equation
`m = (y_2 - y_2)/(x_2-x_1)`

So, here the slope of line AB is
`m = (3- 0)/(0-5)  = -(3)/(5)`

Now by POINT SLOPE FORMULA:

The equation of a line with point (x0,y0) and slope m is given as:

(y- y0) = m (x-x0)

⇒The equation of line AB is given as

`( y - 0) =  -(3)/(5) (x -5)\\\implies 5 y = -3x + 15\\\implies 5 y + 3x = 15`

Hence, the equation of line AB is given as 5 y + 3x = 15.