Question

How to solve (3,1), 2x - y = 5 for slope-intercept form?

a) y = -2x + 11
b) y = 2x - 1
c) y = -2x + 1
d) y = 2x + 1

Answer 1

The student's task of solving the equation 2x - y = 5 for slope-intercept form reveals that none of the provided options match the correct slope-intercept form, which should be y = 2x - 5.

Step-by-step explanation:

To solve the equation 2x - y = 5 for the slope-intercept form, you need to solve for y in terms of x. The slope-intercept form of a linear equation is y = mx + b, where m represents the slope and b represents the y-intercept. Starting with the given equation:

2x - y = 5

Move the term 2x to the other side by adding y to both sides:

y = 2x - 5

Here, the coefficient of x is 2, which is the slope, and the constant term is -5, which is the y-intercept. Therefore, none of the provided options (a through d) correctly represent the slope-intercept form of the given equation, which should be y = 2x - 5.