Azaraya C.
asked • 09/19/23What is the equation of the line that passes through the point left bracket, minus, 1, comma, 6, right bracket ( − 1 , 6 ) (−1,6) and has a slope of 1 1 1?
More
1 Expert Answer
Chris M. answered • 09/19/23
Tutor
New to Wyzant
University of Southern California Grad | Math and Physics Tutor
The equation for a linear line is:
y=mx+b
where m is the slope, b is the y-intercept, and y is a function of x.
The question provides us with the slope of the line m=1, and a test point on the line (-1,6). We can plug our value for m and our values for x and y from the test point into our equation to solve for b:
6=(1)(-1) + b
6=-1+b
add 1 to both sides:
7=b
Now we know values for m and b, so the equation for the line is:
y = x + 7
Kettly J.
You can also use the point-slope form equation to find the equation of this line. y-y2 = m(x-x2) (-1, 6) represents the coordinates of the point (x2,y2) and m=1 y-6 = 1(x+1) now solve this equation for y in term of x y-6 = x+1 Add 6 on both sides. y-6+6 = x+1+6 Y= x+7 is the equation of the line
Report
09/19/23
Still looking for help? Get the right answer, fast.
Ask a question for free
Get a free answer to a quick problem.
Most questions answered within 4 hours.
OR
Find an Online Tutor Now
Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.
Kettly J.
You can also use the point-slope form equation to find the equation of this line. y-y2 = m(x-x2) (-1, 6) represents the coordinates of the point (x2,y2) and m=1 y-6 = 1(x+1) now solve this equation for y in term of x y-6 = x+1 Add 6 on both sides. y-6+6 = x+1+6 Y= x+7 is the equation of the line09/19/23