Find the equation (in terms of x ) of the line through the points (-5,-1) and (3,-4)
1 answer:
9514 1404 393
Answer:
y = -3/8x -23/8
Step-by-step explanation:
The slope is found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-4 -(-1))/(3 -(-5)) = -3/8
Then the point-slope equation of the line is ...
y -k = m(x -h) . . . . line with slope m through point (h, k)
For m = -3/8 and (h, k) = (-5, -1), the line is ...
y +1 = -3/8(x +5)
In slope-intercept form, this is ...
y = -3/8x -23/8
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Answer:
D
Step-by-step explanation:
To convert from polar to rectangular form
• x = rcosΘ , y = rsinΘ
• r = ⇒ r² = x² + y²
Given
r = 8cosΘ
r = 8 × ( multiply both sides by r )
r² = 8x, hence
x² + y² = 8x ⇒ D