How do you write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (3,7) and perpendicular to 4x+5y=1?
To write a linear equation in any form, you need at least two of the following three pieces of information: a point, a different point, and/or a slope. We are already given a single point,
Note that if we have a line
The slope of the given line is then
To find our equation in slope-intercept form, we take the base form
The standard form of a linear equation is
Thus, our answer in standard form is