Question

Reduced the equations into intercept form and find their intercepts n the axes

3x - 4y + 10 = 0

Answer 1

The intercept form of the equation is x/(-10/3) + y/(5/2) = 1 with the x-intercept at (-10/3, 0) and the y-intercept at (0, 5/2). To reduce the equation into intercept form, rearrange it to isolate y. Then, set y = 0 to find the x-intercept and x = 0 to find the y-intercept.

Step-by-step explanation:

To reduce the equation into intercept form, we need to solve for y. Let's rearrange the equation:

3x - 4y + 10 = 0

Subtract 3x from both sides:

-4y = -3x - 10

Divide all terms by -4:

y = (3/4)x + (5/2)

To find the x-intercept, we set y = 0:

0 = (3/4)x + (5/2)

Solve for x:

(3/4)x = -(5/2)

Multiply both sides by 4/3:

x = -10/3

The x-intercept is (-10/3, 0).

To find the y-intercept, we set x = 0:

y = (3/4)(0) + (5/2)

y = 5/2

The y-intercept is (0, 5/2).