Look kid, this question has been up for 16 hours think its time to let it go......... hoped i helped. ✔verified✔
The equation of the line is y = -2/3x - 3.
To find this, we first need to turn the intercepts into ordered pairs.
x intercept: (-4.5, 0)
y intercept: (0, -3)
Now we can use these two points and the slope equation to find slope.
m = (y2 - y1)/(x2 - x1)
m = (0 - -3)/(-4.5 - 0)
m = 3/-4.5
m = -2/3
Now that we have the slope, we can use slope intercept form to find the intercept.
y = mx + b
-3 = 2/3(0) + b
-3 = 0 + b
-3 = b
Which allows us to model the equation as y = -2/3x - 3
Answer:
y = 4/3x - 10.
Step-by-step explanation:
3x + 4y = 12
4y = -3x + 12
y = -3/4x + 3
If a line is perpendicular to another, the line has a slope that is the negative reciprocal of the other line. Since the given line has a slope of -3/4, the line perpendicular to that line will have a slope of 4/3.
So far, for the equation of the line, we have an equation of y = 4/3x + b.
To find b, simply substitute the coordinates (6, -2) for x and y.
-2 = 4/3(6) + b
b + 4/3(6) = -2
b + 8 = -2
b = -10
So, the equation of the line will be y = 4/3x - 10.
Check your work...
-2 = (4/3)(6) - 10
-2 = 8 - 10
-2 = -2
Hope this helps!
