A pair of parametric equations is given. x = t2, y = t − 3, 3 ≤ t ≤ 6 (a) Sketch the curve represented by the parametric equatio
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well, in short, the students and chaperones are at a 2 : 9 ratio, and we know there are 171 students, how many chaperones then, so long they maintain a 2:9 ratio?
Answer:
The equation in the slope-intercept form will be:
y = 1/4x - 7
Step-by-step explanation:
Given the points
- (-4.-8)
- (-8, -9)
We know that the slope-intercept of line equation is
where m is the slope and b is the y-intercept
substituting m = 1/4 and the point (-4, -8) to find the y-intercept 'b'
y = mx+b
-8 = 1/4(-4)+b
-8 = -1 + b
b = -8+1
b = -7
so the y-intercept = b = -7
substituting m = 1/4 and b = -7 in the slope-intercept form of line equation
y = mx+b
y = 1/4x + (-7)
y = 1/4x - 7
Thus, the the equation in slope-intercept form will be:
y = 1/4x - 7