Algebra (dealing with linear equations)?

Question

Given the points (1, -4) , (x , 5) and slope, m= 3 ; solve for x


Anyone know what type of formula would be used here

Answer 1

y=mx+b is what you would use
I'm kind of rusty, but find the intercept and go from there.

Answer 2

First question: From the advice: f(0)=-2 , f(2)=4, those supply you the coordinate factors on a linear equation. specifically, (0, -2) and (2, 4). look into why, i.e., enter 0, output -2, and so on. Use the slope formula on those factors to locate slope. m = 6/2 = 3/one million = 3. Use what ever sort of equation of a line you go with. i like to apply slope-intercept sort, y = mx + b. all of us comprehend m = 3, from (0, -2) we've the y-intercept b = -2. hence, y = 3x - 2. very final answer: y = 3x - 2. 2nd question: we've component (0, one million). hence, the y-intercept is one million. the 2nd sentence tells us of the slope. Slope = upward thrust/run = -3/one million = -3. Why? "f(x) decreases 3" skill that the upward thrust is adverse 3 and "x will improve via one million" skill the run is advantageous one million. very final answer: y = -3x + one million

Answer 3

yes, the formula for linear first degree equations is indeed :

y= mx + b

since ur x= 1 and y=-4 and m=m

Therefore u substitute:

so,

-4 = 1(3) + b
b = -(3 + 4) = -7
b is the y-intercept (0,-7)

Therefore formula of your line is
y = 3x - 7
now lets find the x u need

5 = 3(x) - 7
5 + 7 = 3x
12 = 3x
x = 12/3 = 4

Thats the answer ☻

Answer 4

Hey there!

Here's the answer.

m=(y2-y1)/(x2-x1) --> Use the slope of a line formula.
m=(-4-5)/(1-x1) --> Substitute the coordinates into the formula.
3=(-4-5)/(1-x1) --> Substitute 3 for m.
3=(-9)/(1-x1) --> Add -4 and -5.
3(1-x1)=-9 --> Multiply 1-x1 on both sides of the equation.
1-x1=-3 --> Divide 3 on both sides of the equation.
-x1=-4 --> Subtract 1 on both sides of the equation.
x1=4 Divide -1 on both sides of the equation.

So the answer is x=4.

Hope it helps!

Answer 5

slope is change in y over change in x, so (5 - -4)/(x-1) = 3
9 = 3(x-1)
9 = 3x - 3
12 = 3x
4 = x

Answer 6

using the help of the equation for figuring out slope i got the answer x= 4

Answer 7

(5+4)/(x-1)=3
9=3x-3
x=4
formula y=sx+b