What is the slope? (Number) What is the y-intercept? (Number)

Write a linear equation y=mx + b to represent the table:

slope=1

y-intercept=10

linear equation is y =x+10

Step-by-step explanation: to find slope take 2 points (0,10) and (2,12) as (x1,y1) and (x2,y2) respectively. Using slope formula(y2-y1/x2-x1) we get (12-10)/(2-0) which simplifies to 2/2 which is 1. y-intercept is the point where x is 0, then y is a number called y-intercept. And in the table when x=0 ,y=10 therefore 10nis the y-intercept. As for the linear equation, y=mx+b it simply is y=slope×x +y-intercept, from the previous question we can say y=1x+10 ( in math its better if the coefficient of x is 1 we can just say x) which is y=x+10.

there is no question content here, but you for the free points! : d

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1