Question

Please help me with this asap

Answer 1

b = 5

m = -3

Explanation:

y-intercept is where the line intersects the y-axis. So, the line intersects at (0,5).

So, y-intercept = b = 5

Choose two points on the line: (0,5) and (1,2)

x₁ = 0 ; y₁ = 5

x₂ = 1 ; y₂ = 2

Substitute the points in the below formula to find the slope.

`\sf \boxed{\bf Slope =(y_2-y_1)/(x_2-x_1)}`

`= (2-5)/(1-0)\\\\=(-3)/(1)`

`\boxed{\bf m = -3}`

Answer 2

m = - 3 , b = 5

Explanation:

calculate the slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (2, - 1) ← 2 points on the line

m =
`(-1-5)/(2-0)` =
`(-6)/(2)` = - 3

the y- intercept b is the value of y on the y- axis where the line crosses

that is b = 5