Find an equation of the line having the given slope and contaning the given point.
m=-3(6,7)
I got y=-3x-25 for the answear. Is this correct?
your point does not satisfy the equation when substituted.
let y = -3x + b be the equation, now sub in the point,
7 = -3(6) + b
b = 25
I think you just did a typo.
so the answear is -3x+25?
To find the equation of a line given the slope and a point, you can use the point-slope form of a linear equation. The point-slope form is given by:
y - y1 = m(x - x1)
Where m is the slope, and (x1, y1) is the given point.
In this case, the slope (m) is -3, and the given point is (6, 7). Plugging these values into the point-slope form, we get:
y - 7 = -3(x - 6)
Simplifying further, we distribute -3 into the parentheses:
y - 7 = -3x + 18
Finally, to isolate y, we add 7 to both sides of the equation:
y = -3x + 18 + 7
Simplifying again, we have:
y = -3x + 25
So, the correct equation of the line with a slope of -3 and passing through (6, 7) is y = -3x + 25.
Therefore, your answer, y = -3x - 25, is incorrect. The correct equation is y = -3x + 25.