your equation is:
4x - y = 7
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Algebra: Graphs, graphing equations and inequalities
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Question 272643: The problem is: 4x - y =7
I need to determine if it is a linear equation or not. i need to explain the problem and try to share at least 3 orderd pairs of points that would be solutions to this equation.
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Answer by Theo(11118) About Me (Show Source):
You can put this solution on YOUR website!
a linear equation is an equation in which the highest order of exponent is 1.
your equation is:
4x - y = 7
it's a linear equation.
none of the variables has an exponent larger than 1.
x = x^1
y = y^1
to find your ordered pairs, just take 3 values for x at random and plug them into the equation.
let x = 1,2,3
your equation is:
4x - y = 7
if you solve for y, it makes it easier to find the y value given the x value.
solve for y to get:
y = 4x - 7
when x = 1, y = -3
when x = 2, y = 1
when x = 3, y = 5
placing the equation into this form also allows you to graph it.
placing the equation into this form also gives you the slope-intercept form of the equation.
what you started with was the standard form of the equation for a straight line.
that standard form is ax + by = c
your equation is:
4x - y = 7
a = 4 and b = -1
the slope intercept form of the equation of a straight line is y = mx + b
m is the slope and b is the y intercept.
when you solved for y, you placed the equation into this form.
your slope is 4
your y intercept is -7
graph of your equation looks like this:
Click here to see ALL problems on Graphs
Question 272643: The problem is: 4x - y =7
I need to determine if it is a linear equation or not. i need to explain the problem and try to share at least 3 orderd pairs of points that would be solutions to this equation.
(Scroll Down for Answer!)
Did you know that Algebra.Com has hundreds of free volunteer tutors who help people with math homework? Anyone can ask a math question, and most questions get answers!
OR get immediate PAID help on:
Type Your Question
Go!!!
Answer by Theo(11118) About Me (Show Source):
You can put this solution on YOUR website!
a linear equation is an equation in which the highest order of exponent is 1.
your equation is:
4x - y = 7
it's a linear equation.
none of the variables has an exponent larger than 1.
x = x^1
y = y^1
to find your ordered pairs, just take 3 values for x at random and plug them into the equation.
let x = 1,2,3
your equation is:
4x - y = 7
if you solve for y, it makes it easier to find the y value given the x value.
solve for y to get:
y = 4x - 7
when x = 1, y = -3
when x = 2, y = 1
when x = 3, y = 5
placing the equation into this form also allows you to graph it.
placing the equation into this form also gives you the slope-intercept form of the equation.
what you started with was the standard form of the equation for a straight line.
that standard form is ax + by = c
your equation is:
4x - y = 7
a = 4 and b = -1
the slope intercept form of the equation of a straight line is y = mx + b
m is the slope and b is the y intercept.
when you solved for y, you placed the equation into this form.
your slope is 4
your y intercept is -7
graph of your equation looks like this:
graph%28600%2C600%2C-1%2C4%2C-10%2C10%2C4x-7%2C-3%2C1%2C5%29
I placed horizontal lines at y = -3, 1, 5.
If you trace a vertical line down from the intersections of those lines with the line created by your equation, you will see that the value of x at those intersection points is 1,2,3
the points on the line formed by your equation are:
(x1,y1) = (1,-3)
(x2,y2) = (2,1)
(x3,y3) = (3,5)
you can take any other values of x and find the corresponding value of y by just replacing x in the equation with the value of x.
the equation is y = 4x - 7
when x = 5, y = 20-7 = 13, etc. brainlest pls
