Put the two given equations together in a system, set x=0 (say) and solve for y,z to get an actual point on the intersection line. Accompanied by its direction vector ...
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the-plane-that-passes-through-the-point-1,4-and-contains-the-line-of-intersection
We also know that the y-intercept is (0, 1). ... We can begin with the point-slope form of an equation for a line, and then rewrite it in the slope-intercept form. ... its graph passes, write the equation of a line parallel to the given line that passes through the given point. ... Figure 22 shows that the two lines will never intersect.. The plane that passes through the point (3,1,4) and contains the line of intersection of the planes x+2y+3z=1 and 2x-y+z=-3. Find an equation of the plane ... 3925e8d270