Answer:
Slope-intercept is a specific form of linear equations. It has the following general structure. Drum roll ...
\Large y=\maroonC{m}x+\greenE{b}y=mx+by, equals, start color #ed5fa6, m, end color #ed5fa6, x, plus, start color #0d923f, b, end color #0d923f
Here, \maroonC{m}mstart color #ed5fa6, m, end color #ed5fa6 and \greenE{b}bstart color #0d923f, b, end color #0d923f can be any two real numbers. For example, these are linear equations in slope-intercept form:
y=2x+1y=2x+1y, equals, 2, x, plus, 1
y=-3x+2.7y=−3x+2.7y, equals, minus, 3, x, plus, 2, point, 7
y=10-100xy=10−100xy, equals, 10, minus, 100, x [But this equation has x in the last term!]
On the other hand, these linear equations are not in slope-intercept form:
2x+3y=52x+3y=52, x, plus, 3, y, equals, 5
y-3=2(x-1)y−3=2(x−1)y, minus, 3, equals, 2, left parenthesis, x, minus, 1, right parenthesis
x=4y-7x=4y−7x, equals, 4, y, minus, 7
Slope-intercept is the most prominent form of linear equations. Let's dig deeper to learn why this is so.
Explanation: