Question

If the x-intercept and y- intercept of a straight line are 2/3 and 3/4 respectively, then the equation of the straight line is ______ ?​

Answer 1

Step-by-step explanation:

9x+8y-6=0

There’s a nifty little formula for a line called the intercepts form. x/a + y/b = 1

Plug in the intercepts and simplify.

3x/2 + 4y/3 = 1

Multiply through by 6 and you have the standard form.

9x+8y=6

Set the equation equal to 0 and you have general form.

9x+8y-6=0

As slope-intercept, y = -9x/8+3/4 , a rearrangement if the standard form.

Mathematicians create different but equivalent forms of equations to use at different times.

Of course, you have the points (2/3, 0) and (0, 3/4). The slope formula

m= \dfrac{y2-y1}{x2-x1}