What is the equation of the line that passes through the point (-4, 2) and has a slope of -5/4?
1 answer:
Answer:
y = -5/4 x - 3 is the slope-intercept form
5x + 4y = -12 is the standard form
Step-by-step explanation:
Use the point-slope form:
= (-4, 2)
y - 2 = -5/4(x + 4) Multiply by 4 to remove the fraction
4y - 8 = -5(x + 4)
4y - 8 = -5x - 20
4y = -5x - 12
y = -5/4 x - 3 is the slope-intercept form
5x + 4y = -12 is the standard form
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9514 1404 393
Answer:
C. 1/(4a)
Step-by-step explanation:
We assume you're comparing the vertex form ...
y = a(x -h)^2 +k
to the form used to write the equation in terms of the focal distance p.
y = 1/(4p)(x -h)^2 +k
That comparison tells you ...
a = 1/(4p)
p = 1/(4a) . . . . . . multiply by p/a; matches choice C
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<em>Additional comment</em>
When using plain text to write a rational expression, parentheses are needed around any denominator that has is more than a single constant or variable. The order of operations requires 1/4a to be interpreted as (1/4)a. The value of p is 1/(4a).
When rational expressions are typeset, the fraction bar serves as a grouping symbol identifying the entire denominator: