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
(5, 1)
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
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