Question

Convert the equations from standard form to slope-intercept form:

x = -4 and x = 9

a) y = -4 and y = 9
b) y = x - 4 and y = x - 9
c) No slope-intercept form for x = -4 and x = 9
d) y = 4 and y = 9

Answer 1

The equations x = -4 and x = 9 represent vertical lines, which do not have a slope-intercept form because they have an undefined slope and do not intersect the y-axis in a representable y-intercept form.

Step-by-step explanation:

The equations x = -4 and x = 9 are vertical lines and as such do not have a slope-intercept form which is typically written as y = mx + b, where m is the slope and b is the y-intercept. A vertical line has an undefined slope and does not intersect the y-axis in a fashion that can be represented by a y-intercept. Therefore, the correct answer to the student's question is (c) No slope-intercept form for x = -4 and x = 9.