8x + 3y = 24
8x - 8x + 3y = -8x + 24
3y = - 8x + 24
3y/3 = (- 8x + 24)/3
y = -8x/3 + 24/3
y = (-8/3)x + 8 this is the slope-intercept form of the equation of the line, y = mx + b, where the slope m is -8/3 and the y-intercept b is 8.
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It is slope intercept form. The equation for slope intercept form is y=mx+b which is like your equation y=5x+6
23
5x+8y = 40 8y = -5x+40 y = -5/8x+5 in slope intercept form
y = x + 2 Slope-intercept form is y = mx + b The slope, m, would be 1 and the y-intercept, b, would be 2
== == y = -x + 5