Question

Which equations are correctly written in slope-intercept form?

A. -3x + y = 1
B. y = 2x + 1
C. y + 20 = x
D. 2x + 3y = 20
E. y = mx + b
F. ax + by = c

Answer 1

Equations in slope-intercept form must be solved for y and formatted as y = mx + b. Of the provided options, equation B (y = 2x + 1) and E (y = mx + b) are correctly in slope-intercept form.

Step-by-step explanation:

The equations correctly written in slope-intercept form are those where the equation is solved for y and takes the form y = mx + b, where m is the slope and b is the y-intercept.

Given the options, equation B (y = 2x + 1) is clearly in this form. Option E is a general representation of the slope-intercept form, y = mx + b, so it is also correctly written in the slope-intercept form. Option F, ax + by = c, can be rearranged to the slope-intercept form if it is solved for y, but as written, it is not in the slope-intercept form.