Question

Find the slope m and y-intercept b. (Give exact answers. Do not round. If an answer is undefined, enter UNDEFINED. If an answer does not exist, enter DNE.)

2x + 5y = 10

Answer 1

Answers:
slope/m = - 2/5
Y intercept/b = 2

Step by step

Equation is in standard form, change to slope intercept form “y = mx + b” to find m and b

2x + 5y = 10

Subtract 2x from both sides to isolate y

2x - 2x + 5y = -2x + 10
Simplify

5y = -2x + 10
Divide both sides by 5 to solve for y

5/5 y = -2/5 x + 10/5
Simplify

y = -2/5x + 2

So the answer is m= -2/5x and b = 2