Question

Tell which form the following linear equation is written in: y = 2x + 5

Answer 1

Standard form

Explanation:

So the problem "y=2x+5" is in standard form and no modification is necessary. For a parabolic equation, the standard form is y = a(x - h)^2 + k, from which direction (polarity of "a") and axis of symmetry (value of "h"), etc. may be determined by inspection.

Answer 2

Slope-intercept form

Explanation:

There are 3 ways of writing a linear equation: slope-intercept form, point-slope form and standard form. Below is what the following looks like:

Slope-intercept form:
`y=mx+b`

Point-slope form:
`y-y_1=m(x-x_1)`

Standard form:
`Ax+By+C=0`

Comparing y=2x+5 to the above, we can identify that it was written in slope-intercept form.

I hope this helps!