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).
Question
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!