Write the slope intercept form of the equation for the line. a. y=8/5x-1/2, b. y=-5/8x+1/2, c. y=5/8x+1/2. d. y=8/5x+1/2

Step-by-step explanation:

Slope-intercept form is where m is the slope

A. The slope is 8/5, and the -1/2 means that the point (0, -1/2) falls on the line, therefore the slope-intercept form is y+1/2=8/5(x-0) or y+1/2=8/5x

B. The slope is -5/8, and the 1/2 means that the point (0, 1/2) falls on the line, therefore the slope-intercept form is y-1/2=-5/8(x-0) or y+1/2=-5/8x

C. The slope is 5/8, and the 1/2 means that the point (0, 1/2) falls on the line, therefore the slope-intercept form is y-1/2=5/8(x-0) or y-1/2=5/8x

D. The slope is 8/5, and the 1/2 means that the point (0, 1/2) falls on the line, therefore the slope-intercept form is y-1/2=8/5(x-0) or y-1/2=8/5x

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

do your own work and don"t cheat.

step-by-step explanation: