Question

X-y=3 in slope intercept form and find x and y intercepts​

Answer 1

The equation x - y = 3 in slope-intercept form is y = x - 3. The x-intercept is (3, 0) and the y-intercept is (0, -3).

Step-by-step explanation:

To convert the equation x - y = 3 into slope-intercept form, you need to solve for y. The slope-intercept form of a straight line is y = mx + b, where m represents the slope and b represents the y-intercept. First, we'll rearrange the equation to solve for y:

• x - y = 3 becomes -y = -x + 3 after moving x to the right side.
• Then, we multiply both sides by -1 to get y = x - 3.

In this format, we can see that the slope (m) is 1 and the y-intercept (b) is -3.

To find the x-intercept, set y to 0 and solve for x:

• 0 = x - 3
• x = 3

The x-intercept is (3, 0).

To find the y-intercept, set x to 0 and solve for y:

• y = 0 - 3
• y = -3

The y-intercept is (0, -3).

In conclusion, the slope-intercept form of the equation is y = x - 3, with an x-intercept of (3, 0) and a y-intercept of (0, -3).