Answer:
slope-intercept form is y = -4x - 6.
Step-by-step explanation;
To find the equation of line q in slope-intercept form, we need to determine its slope and y-intercept.
1. Determine the slope of line p:
Since line p is perpendicular to the graph of y = (1/4)x^2, we know that the slope of line p is the negative reciprocal of the slope of the given line.
The given line has a slope of 1/4, so the slope of line p would be -4 (negative reciprocal of 1/4).
2. Use the slope-intercept form (y = mx + b) and the given point (-3,6) to find the y-intercept of line q:
Substitute the coordinates of the given point into the equation and solve for b (the y-intercept).
6 = -4(-3) + b
6 = 12 + b
b = 6 - 12
b = -6
3. Write the equation of line q using the determined slope and y-intercept:
Now that we have the slope (-4) and the y-intercept (-6), we can write the equation of line q in slope-intercept form.
y = -4x - 6
Therefore, the equation of line q in slope-intercept form is y = -4x - 6.