SOLUTION: what is the slope and y-intercept of these equation? y=7x+1, y=-3x-4, y=-4, y-2x=3.2, y=x+3 ova 4, 2y=6x+16

Algebra ->  Linear-equations -> SOLUTION: what is the slope and y-intercept of these equation? y=7x+1, y=-3x-4, y=-4, y-2x=3.2, y=x+3 ova 4, 2y=6x+16      Log On


   

Question 110338This question is from textbook algebra 1
: what is the slope and y-intercept of these equation? y=7x+1, y=-3x-4, y=-4, y-2x=3.2, y=x+3 ova 4, 2y=6x+16 This question is from textbook algebra 1

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
1. y=7x%2B1

or -7x+%2B+y+=+1

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation -7+x+%2B+1+y+=+1 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+--7%2F1.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 1/-7 = -0.142857142857143.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 1/1 = 1.
  • Slope is --7/1 = 7.
  • Equation in slope-intercept form: y=7*x+1.




y=-3x-4
or 3x+%2B+y+=+-4

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 3+x+%2B+1+y+=+-4 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-3%2F1.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. -4/3 = -1.33333333333333.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -4/1 = -4.
  • Slope is -3/1 = -3.
  • Equation in slope-intercept form: y=-3*x+-4.



y=-4

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
This equation defines a horizontal line. There is no X intercept. Y intercept is -4%2F1=-4
graph%28+500%2C+500%2C+-10%2C+10%2C+-4+-+10%2C+-4%2B10%2C+-4%2F1+%29+



y-2x=3.2

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation -2+x+%2B+1+y+=+3.2 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+--2%2F1.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 3.2/-2 = -1.6.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 3.2/1 = 3.2.
  • Slope is --2/1 = 2.
  • Equation in slope-intercept form: y=2*x+3.2.
graph%28+500%2C+500%2C+-1.6-8%2C+-1.6%2B8%2C+3.2-8%2C+3.2%2B8%2C+2%2Ax%2B3.2+%29+



y=x%2B3%2F4
or -x+%2B+y+=+3%2F4

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation -1+x+%2B+1+y+=+0.75 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+--1%2F1.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 0.75/-1 = -0.75.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 0.75/1 = 0.75.
  • Slope is --1/1 = 1.
  • Equation in slope-intercept form: y=1*x+0.75.
graph%28+500%2C+500%2C+-0.75-8%2C+-0.75%2B8%2C+0.75-8%2C+0.75%2B8%2C+1%2Ax%2B0.75+%29+



2y=6x%2B16………both sides divide by 2

y=+3x%2B8………

-3x+%2B+y+=+8………

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation -3+x+%2B+1+y+=+8 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+--3%2F1.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 8/-3 = -2.66666666666667.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 8/1 = 8.
  • Slope is --3/1 = 3.
  • Equation in slope-intercept form: y=3*x+8.