3x = 6y
to get this into slope-intercept form, you simply need to solve for y. remember that slope-intercept form is y = mx + b, where m is your slope and b is your y-intercept.
3x = 6y ... divide both sides by 6
1/2x = y
y = 1/2x is your equation in slope-intercept form. because no "b" value is present, your intercept will simply be 0.
Y - y1 = m(x - x1)
slope(m) = 6/7
(-9,6)....x1 = -9 and y1 = 6
now we sub...pay close attention to ur signs
y - 6 = 6/7(x - (-9)....not done yet
y - 6 = 6/7(x + 9) <===
Answer:
Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.
Step-by-step explanation:
The <em>speed</em> intervals such that the mileage of the vehicle described is 20 miles per gallon or less are: v ∈ [10 mi/h, 20 mi/h] ∪ [50 mi/h, 75 mi/h]
<h3>How to determine the range of speed associate to desired gas mileages</h3>
In this question we have a <em>quadratic</em> function of the <em>gas</em> mileage (g), in miles per gallon, in terms of the <em>vehicle</em> speed (v), in miles per hour. Based on the information given in the statement we must solve for v the following <em>quadratic</em> function:
g = 10 + 0.7 · v - 0.01 · v² (1)
An effective approach consists in using a <em>graphing</em> tool, in which a <em>horizontal</em> line (g = 20) is applied on the <em>maximum desired</em> mileage such that we can determine the <em>speed</em> intervals. The <em>speed</em> intervals such that the mileage of the vehicle is 20 miles per gallon or less are: v ∈ [10 mi/h, 20 mi/h] ∪ [50 mi/h, 75 mi/h].
To learn more on quadratic functions: brainly.com/question/5975436
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