Question

What is the slope of the line whose equation is y - 4 = x - 2?

a) 1
b) -1
c) 2
d) 4

Answer 1

The slope of the line with the given equation is 1.

Step-by-step explanation:

To find the slope of a line given its equation, we need to rewrite the equation in slope-intercept form, y = mx + b, where m is the slope. The given equation, y - 4 = x - 2, can be rearranged as y = x + 2 + 4, or y = x + 6. Comparing this equation to y = mx + b, we can see that the slope, m, is equal to 1. Therefore, the correct answer is option a) 1.