Question

Convert the given slope-intercept form equation to standard form:

y = 2x + 5
a) 2x - y = -5
b) 2x + y = 5
c) y - 2x = 5
d) -2x - y = -5

Answer 1

To convert from slope-intercept to standard form, subtract 2x from both sides of y = 2x + 5, getting -2x + y = 5. Then, to make the coefficient of x positive, multiply by -1 to result in the equation 2x - y = -5.

Step-by-step explanation:

To convert the given slope-intercept form equation y = 2x + 5 to standard form, we need to rearrange the equation such that it is in the form Ax + By = C, where A, B, and C are integers and A is nonnegative. Starting with the slope-intercept equation:

y = 2x + 5

We can subtract 2x from both sides to get the equation into standard form:

-2x + y = 5

However, standard form typically requires the x-coefficient to be positive. Multiplying through by -1 we get:

2x - y = -5

Therefore, the correct standard form of the equation is option a) 2x - y = -5.