Question

If you were asked to solve a system of linear equations using the substitution method, in what form would one or both of the equations start as that would make the problem the simplest?

Select one:
A. point-slope form
B. standard form
C. slope-intercept form
D. point-intercept form

Answer 1

The correct answer is: slope-intercept form

Explanation:

Step 1

Recall that the first step in solving a system of linear equations using the substitution method is to solve one of the equations for one of its variables.

Of all the forms listed, only the slope-intercept form of an equation automatically has one of its variables solved-for (point-intercept form is not a real form). This means that if one of the equations in a system is already in slope-intercept form, then the first step can be skipped in using the substitution method.

Step 2

Match your solution to the correct answer choice.

Answer choice C is the only answer choice that identifies the form of linear equation that is the simplest to start when using the substitution method. Select answer choice C and move on to the next question.

Answer 2

A. point-slope form

Explanation:

In general, the equation in point-slope form will give an expression that can substitute for "y", as that form is ...

y = [something]

_____

In specific instances, the other forms of the linear equations may work, but that is not guaranteed.