Write the equation of the plane in intercept form and find the points where it intersects the coordinate axes. $4x + 5y − 6z = 60.$
Is there a way to algebraically using y = mx+b to convert this to this form? I am confused as to how to convert this since this has z coordinate.
Intercept form is $\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1$ from which the intercepts can be read off as $(a,0,0)$, etc.
In your case, dividing through by $60$ will get the needed $1$ on the right hand side.