Question

write an equation in slope - intercept form for line c. the equation of line c in slope - intercept form is y = x

Explanation:

Step1: Identify two points on line c

Let's take two points on line c, say (0, 2) and (2, 0).

Step2: Calculate the slope (m)

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting the points (0, 2) and (2, 0), we get $m=\frac{0 - 2}{2 - 0}=\frac{-2}{2}=-1$.

Step3: Identify the y - intercept (b)

The y - intercept is the y - value when x = 0. From the point (0, 2), b = 2.

Step4: Write the equation in slope - intercept form

The slope - intercept form is y=mx + b. Substituting m=-1 and b = 2, we get y=-1x + 2.

Answer:

y=-1x + 2