2x + 3y = 8
Usually you would solve for y to get the equation in Slope Intercept Form.
(y = mx + b) Where (m) is the slope and (b) is the y intercept of the graph.
First get the y by itself by subtracting 2x and getting it to the side with the 8.
You now have this... 3y = -2x + 8
Now Isolate the variable (y) by dividing by 3.
You now have this... y = - 2/3 + 8/3
Now since you have this in Slope Intercept Form, you know - 2/3 is the slope of the line and 8/3, or 2 2/3, is the y intercept on your graph.
2x - 3y = 6 2x = 6 + 3y 2x - 6 = 3y : 3y = 2x - 6 y = 2/3x - 2
2x+3y=13 3x-y=3 x=2
The y-intercept is -5. 2x - 3y = 15 -3y = -2x + 15 y = 2/3x - 5 the y-intercept is the number in slope intercept form that does not have a variable, the minus sign makes the intercept negative.
4x+3y = 12 3y = -4x+12 y = -4/3x+4
None. If you rearrange each equation into slope intercept form ( y = mx + b), see below, you'll find that both equations have the same slope. Therefore they are parallel which also means would not intersect. Since the lines wouldn't intersect there is no solution to the system of equations.x + 3y = 23y = -x + 2y = (-1/3)x + 2/32x + 6y = -36y = -2x - 3y = (-1/3)x - (1/2)
2x + 3y = 6 can be written in the standard slope-intercept form of y= mx + c, where 'm' is the slope. 3y = -2x + 6 y = -⅔x + 2 The slope of this linear graph is -⅔.
- 2/3
Y=4-(2x/3)
2X + 3Y = 24 subtract 2X from both sides 3Y = - 2X + 24 divide both sides by 3 Y = - 2/3X + 8 slope(m) = - 2/3
y=x+5
2x + 3y = 5 So 3y = -2x + 5 or y = -2/3x + 5 Now that the equation is in standard form, you just read the slope off as the coefficient of x, ie slope = -2/3
Convert the equation into the form y = mx + c, where m is the slope (and c is the y intercept) 2x + 3y = 18 3y = -2x + 18 y = -2/3x + 6 Therefore the slope is -2/3.
y = -2x - 8
answer is y=(4/3)-(2x/3)
2x-11
-2x plus 3y equals 1
6x+3y = -9 3y = -6x-9 y = -2x-3 Therefore the perpendicular slope is 1/2