write in slope intercept form calculator

Let y in both of the equations equal the same value. Now what? To find where y=1/2x+5 and the original line y=-2x intersect, set them equal to each other. You already solved for b after substituting in the values of m, x and y:īut instead of finding your y intercept, write down the general equation of the line! Since you know m and b, the equation of this line is y=1/2x+5.

You know that the line of (2,6) is perpendicular to y=-2x, so m=1/2. Do this by doing what you did before-find your m and b values. Instead of finding the y-intercept of the point (2,6), find the complete equation of the line. What formula would be used? What if I end up not having graph paper? What if my line is screwy? I feel that having an equation to figure this out would let me know that I understand fully and NOT have to rely on NEEDING a graph to solve. My question is, how do you find the intersecting point of the perpendicular lines if they do not intercept on the y axis? WITHOUT USING A GRAPH Then, using the 'distance formula' cough(pythagorean theorem) cough for the two points (2,6) and (-2,4) => (2-(-2))squared + (6-4)squared => 16+4 => square root of 20 being 2 root 5. By using the graph(which is what I am trying to avoid), I can find that the intersecting point of both lines is (-2,4) My two points for my second line are now (2,6) (0,5). Solving this gives me the y-intercept of 5.

The equation for my second line would then be, (6) = 1/2*(2) + b.

This tells me that the slope of the perpendicular line is 1/2. I know this was touched on already but I think I am asking a slightly different question.įor example, Find the distance between the point (2,6) and the line y=−2x. My question is, how do you find the intersecting point of the perpendicular lines if they do not intercept on the y axis? WITHOUT USING A GRAPH.

Write in slope intercept form calculator