Answer:
<h2>
x + 3y = 7 </h2>
Step-by-step explanation:
The equation of a line which passes through <em>(x₁, y₁)</em> and with slope of <em>m</em> in point-slope form:
y - y₁ = m(x - x₁)
m = -¹/₃
(1, 2) ⇒ x₁ = 1, y₁ = 2
Therefore, the equation of the line which passes through (1, 2) and with slope of −1/3 in point-slope form:
y - 2 = -¹/₃(x - 1)
y - 2 = -¹/₃x + ¹/₃ {add ¹/₃x to both sides}
¹/₃x + y - 2 = ¹/₃ {add 2 to both sides}
¹/₃x + y = 2¹/₃ {multiply both sides by 3}
x + 3y = 7
Look in the table at the column that has 1 minute and 4.25 pages. Printer A prints 4.25 pages in 1 minute which is a rate of 4.25 pages per minute. The rate of printing is the slope in the equation. A rate of 4.25 pages per minute is represented by the equation y = 4.25x, where 4.25 ids the slope of the equation.
We are told that Printer A prints faster than Printer B, so Printer B must have a lower rate of printing than Printer A. The equation for Printer B must have a slope less than 4.25.
There are two choices which have a slope less than than 4.25.
Answer: y = 4.2x; y = 4x
A. (0,-6)
plug in the area to the area formula for a triangle (A=1/2bh). so 28=1/2b(4) [since the height is 4]. divide by 4 (7=1/2b). multiply by 2/divide by 1/2 (14=b). the base equals 14 units long.
B. y=2/3x+4
find the slope of the line (2/3)
the y-intercept is 4
