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A line is represented by an equation. Each solution of the equation is a point on the line, and each point on the line is a solution to the equation. So the line is just the graph of the solution set of the equation.

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Q: What does solving the equation for a line tell us?
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Find the equation of the line that has the slope of 7 an y-intercept of 4?

3


What is a reasonable first step in solving this problem?

The first step is to show us the problem.


What two integers added together equal 15 but when multiplied together equal 36?

(Solving with algebra)Lets call the two numbers x and y.We want to find x and y so that x + y = 15 and xy = 36.First, solve one equation for x or y. Here we will solve the first equation for x:x = 15 - yBecause we know that 15 - y = x, we can plug it into the second equation:(15 - y)(y) = 36.Solving the above equation will give us one of the numbers:Distribute: y^2 - 15y + 36 = 0Factor: (x - 12)(x - 3) = 0We can see here that the numbers are 12 and 3 (by solving for x).The numbers in this problem are simple enough that you can use guess and check.Start at a number (1, for example), and find the other number that would add to 15. If the numbers multiply to 36, then you found the two numbers. If not, try another one.The two numbers are 12 and 3.


A line whose slope equals 9 and passes through point zero and negative 5?

Linear equations can be written in the following form: y = mx + b where m = slope and b = y-intercept In this case we are given the slope (m=9) so: y = 9x + b We are also given a single point (0, -5). Because this point gives us a value of x and y that are on the line, we can substitute those values into our equation to get b. y = 9x + b and x = 0 and y = -5 -5 = 9(0) + b -5 = b Substitute this value back into our equation to get the equation of the line y = 9x - 5


What square root property is essential to solve any radical equation involving square root?

If you take an equation such as Ax2+ Bx+c=0, you can complete the square and then use the square root property to solve it. That is how we derive the quadratic equation. For example, x2+2x-9=0 We write this as (x+1)2=10 bu completing the square then the square root property tell us that x+1 is PLUS OR MINUS Square root of 10

Related questions

What us the equation of a line with a slope of -1 and a y-intercept of -5?

The straight line equation is: y = -x-5


What is continuity equation tell us?

fluid flow.


How can you check if a point is on a given line?

Improved Answer:Find the equation of the line that is given.Check to see if the coordinates of the point satisfy the equation of the line.-411LeonOld Answer:Don't ask us!!


How can the degree of the equation tell us if the equation is linear or not?

A linear equation always has a degree of one because the slope has to be constant to form a line. So, x + 7 is linear, 7 - x is linear, 4x - 3.7 is linear, but anything with x2 , etc. is not linear.


What does an epiphyseal line tell us?

it does your mom


What does slope tell us about a line?

Its angle of incline.


What us the equation of the following line (19)(00)?

Points: (1, 9) and (0, 0) Slope: 9 Equation: y = 9x


Which equation of a line is shown on the grid?

We won't know until you let us see the grid.


Can A regression equation have a negative coefficient of correlation and a negative coefficient of determination?

It's not quite possible for the coefficient of determination to be negative at all, because of its definition as r2 (coefficient of correlation squared). The coefficient of determination is useful since tells us how accurate the regression line's predictions will be but it cannot tell us which direction the line is going since it will always be a positive quantity even if the correlation is negative. On the other hand, r (the coefficient of correlation) gives the strength and direction of the correlation but says nothing about the regression line equation. Both r and r2 are found similarly but they are typically used to tell us different things.


What does the equation Emc2 tell us?

It tells us how much energy is available in any given mass and of course also the reverse.


How do you determine the equation of a horizontal line that passes through negative 2 4?

I will assume you mean the line passes through (0, -24).The equation of a line is y=mx+cSince the line is horizontal, we know m is 0. Since m is zero, the x term disappears, leaving us with:y = cSince we know c (the y-intercept) to be -24, the equation of this line is simply:y = -24


What is y equals 6 times x plus 2?

You have to do an equation so tell us what it equals.