The slope is \maroonC{m}mstart color #ed5fa6, m, end color #ed5fa6.
The yyy-coordinate of the yyy-intercept is \greenE{b}bstart color #0d923f, b, end color #0d923f. In other words, the line's yyy-intercept is at (0,\greenE{b})(0,b)left parenthesis, 0, comma, start color #0d923f, b, end color #0d923f, right parenthesis.Answer:
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.
The coefficients in slope-intercept form
Besides being neat and simplified, slope-intercept form's advantage is that it gives two main features of the line it represents:
Step-by-step explanation:
