Since we have a graph, we can find the slope using rise over run, 6 2 = 3 and the y-intercept is (0, 6). The equation of the line, in slope-intercept form, is y = 3 x + 6 . To change the equation to general (standard) form, subtract the x-term to move it over to the other side.
Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept). We can rewrite an equation in point-slope form to be in slope-intercept form y=mx+b, to highlight the same line's slope and y-intercept.
The general form ax+by+c=0 is one of the many different forms you can write linear functions in. Other ones include the slope intercept form y=mx+b or slope-point form.
Slope-intercept form (y=mx+b) of linear equations highlights the slope (m) and the y-intercept (b) of a line.
We can rewrite an equation in slope-intercept form (y=mx+b) to be in standard form (Ax+By=C) instead. In this example, we rewrite the slope-intercept equation y=2/3x+4/7 in standard form.
So I'm going to leave the answer in this form. So it's an ax plus b y equals c format. So that's howMoreSo I'm going to leave the answer in this form. So it's an ax plus b y equals c format. So that's how you can convert from slope intercept form to standard form.