With all the addition and subtraction signs missing, I will substitute a plus sign in front of all of them:
We have the slope 3x + 2y = 5
Rearrange to the gradient-intercept form:
2y = 5 - 3x
y = 2.5 - 1.5x
When y = mx + b, m is the gradient (slope) and b is the y intercept.
So in this case, the gradient (slope) is -1.5 and the y intercept is 2.5
Put in function form. 3X - 2Y = 5 - 2Y = - 3X + 5 Y = 3/2X - 5/2 Y intercept = - 5/2
5x - 2y = 05x - 5x - 2y = 0 - 5x-2y = - 5x(-2y)/-2 = (-5x)/-2y = (5/2)x where the slope is 5/2 and the y-intercept is 0.
2y = 5x - 10Putting into Slope-Intercept form, we have y = 5/2 x - 5. So, the y-intercept is -5 and the slope is 5/2 or 2.5. (x-intercept is 2).
3x + 5y = 16 5y = -3x + 16 y = -3/5 x + 16/5 By the slope-intercept form: y = mx + b where m = slope b = y-intercept Therefore, the slope is -3/5.
In the straight line equation of y = 3x+5 the slope is 3 and the y intercept is 5
3x-2y = 5 -2y = -3x+5 y = 1.5x-2.5 in slope intercept form
3x - 2y = -10Subtract 3x from each side:-2y = -3x - 10Multiply each side by -1:2y = 3x + 10Divide each side by 2:y = 1.5x + 5
Put in function form. 3X - 2Y = 5 - 2Y = - 3X + 5 Y = 3/2X - 5/2 Y intercept = - 5/2
-8
3x + y = 5 y = -3x + 5 slope is -3 and y intercept is 5.
4x-2y = 10 -2y = -4x+10 y = 2x-5 which is now in slope-intercept form
5x - 2y = 10 2y = 5x - 10 y = 2.5x - 5......which is the equation in slope intercept form.
We need to get both equations into slope-intercept form. If they are parallel, they will have the same slope. If they are perpendicular, they will have slopes that when multiplied equal -1. (unless one line is horizontal and the other vertical) 3x+2y=5 2y=5-3x y=(-3/2)x+(5/2) 3x+2y=9 2y=9-3x y=(-3/2)x+(9/2) The two lines are parallel, since both slopes are equal to (-3/2).
5x - 2y = 05x - 5x - 2y = 0 - 5x-2y = - 5x(-2y)/-2 = (-5x)/-2y = (5/2)x where the slope is 5/2 and the y-intercept is 0.
If you mean: y = 3x-5 then the slope is 3 and the y intercept is -5
If you mean: y = 3x-5 then the slope is 3 and the y intercept is -5
4x-2y = 5 -2y = -4x+5 y = 2x-2.5 The slope is 2 and the y intercept is -2.5