Question

What is x−y=4 in slope-intercept form?

a) y= x+4
b) y= −x+4
c) y= x−4
d) y= −x−4

Answer 1

To put x - y = 4 into slope-intercept form, you add y to both sides and then subtract 4 from both sides, resulting in y = x - 4. The correct answer is option (c).

Step-by-step explanation:

To convert the equation x - y = 4 into slope-intercept form, we need to solve it for y. Slope-intercept form is written as y = a + bx, where a is the y-intercept and b is the slope. The variable x is the independent variable, and y is the dependent variable.

The slope is a number that describes the steepness of the line, and the y-intercept is the point where the line crosses the y-axis.

Let's rearrange the given equation:

Start with x - y = 4. Therefore, the slope-intercept form of the equation is y = x - 4.

Comparing this to the multiple-choice options given, the correct answer is (c) y = x - 4.