identify the equation of the line through (-1,-4) and parallel to y=-6x+4
i got y=6x+10
Isn't the slope of the original line from y=-6x+4 equal to -6. Your solution has a slope of +6. Are those two lines parallel?
i have to identify the equation of a line passing through points (-1,-4) and that is parallel to the line y=-6x+4
I think the point of my response is that your solution of y=6x+10 can't be parallel to y = -6x+4.
You are correct, I apologize for the confusion. You made a mistake when finding the equation of the parallel line. Let's go through the correct steps to find the equation.
To find the equation of a line parallel to y = -6x + 4, we know that the parallel line will have the same slope as -6, which is -6.
Now we have the slope (-6) and a point (-1, -4). We can use the point-slope form of a linear equation to determine the equation of the line.
The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) are the coordinates of the given point and m is the slope.
Plugging in the values, we get:
y - (-4) = -6(x - (-1))
Simplifying:
y + 4 = -6(x + 1)
Expanding:
y + 4 = -6x - 6
Now, isolate y:
y = -6x - 10
Therefore, the correct equation of the line passing through (-1, -4) and parallel to y = -6x + 4 is y = -6x - 10.