can someone show me how or explain to me how to get the slope of
2x +3y=7
3y=7-2x
now solve for y
solve for y to get your equation into to slope-intercept form
y=mx+b
m=slope
2x+3y=7
-2x. -2x
3y=-2x+7
\3 \3 \3
y=-2/3x+7/3
Certainly! The slope of a line can be determined from its equation in the slope-intercept form, which is written as y = mx + b, where m represents the slope. To find the slope, we need to rearrange the given equation into this form.
We start with the equation 2x + 3y = 7. To isolate y on one side of the equation, we need to get rid of the x-term by subtracting 2x from both sides:
3y = -2x + 7
Next, to solve for y, we divide both sides of the equation by 3:
y = (-2/3)x + 7/3
Now, we can directly identify the slope as the coefficient of x, which is -2/3. Therefore, the slope of the line 2x + 3y = 7 is -2/3.