Question Write the equation in slope-intercept form for each line based on the information given. The line has a slope of -1 and goes through the point (2,4).

Answer: y = -1x + 6 or y = -x + 6 Step-by-step explanation: First, let’s identify what slope-intercept form is. y = mx + b m is the slope. b is the y-intercept. We know the slope is -1, so m = -1. Plug this into our standard equation. y = -1x + b To find b, we want to plug in a value that we know is on this line: (2, 4). Plug in the x and y values into the x and y of the standard equation. 4 = -1(2) + b To find b, multiply the slope and the input of x(2) 4 = -2 + b Now, add 2 from both sides to isolate b. 6 = b Plug this into your standard equation. y = -1x + 6 This is your equation. Check this by plugging in the point again. y = -1x + 6 4 = -1(2) + 6 4 = -2 + 6 4 = 4 Your equation is correct. Hope this helps! Log in to Reply

Answer:y = -1x + 6 or y = -x + 6

Step-by-step explanation:First, let’s identify what slope-intercept form is.

y = mx + b

m is the slope. b is the y-intercept.

We know the slope is -1, so m = -1. Plug this into our standard equation.

y = -1x + b

To find b, we want to plug in a value that we know is on this line: (2, 4). Plug in the x and y values into the x and y of the standard equation.

4 = -1(2) + b

To find b, multiply the slope and the input of x(2)

4 = -2 + b

Now, add 2 from both sides to isolate b.

6 = b

Plug this into your standard equation.

y = -1x + 6

This is your equation.

Check this by plugging in the point again.

y = -1x + 6

4 = -1(2) + 6

4 = -2 + 6

4 = 4

Your equation is correct.

Hope this helps!