What is the slope, m, and y-intercept for the line that is plotted on the grid below? On a coordinate plane, a line goes through points (0, 4) and (negative 2, 0).

On a coordinate plane, a line (y = mx + b) goes through point A(0, 4), then it has point A as y-intercept (the point with x component is 0).  And it goes through B(-2, 0).

Denote that line: y = mx + b

=> m*0 + b = 4 (it goes through A(0, 4))

=> b = 4

=> m*2 + 4 = 0 (it goes through B(-2, 0))

=> m = -2

=> Slope m = 2 and y-intercept (0, 4)

Hope this helps!

:)

Slope: 2

y-intercept: 4

Step-by-step explanation:

m = (0-4)/(-2-0) = -4/-2 = 2

y -4 = 2(x - 0)

y = 2x + 4

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15