![]() ![]() Let's solve an exercise with a more relatable subject. Now, you can check your result with our point-slope form calculator. 0 = 2 x − y − 7 \small 0 = 2x - y - 7 0 = 2 x − y − 7Īnd you have the answer.Input the values into the point-slope form formula:.What is the general equation of the line? The equation will now be in the form y = mx + c, where c is the y-intercept.Let's have a look at two exercises, to understand the topic more clearly.Solve for y by rearranging the terms: y = mx − mx 1 + y 1.Begin with the point-slope form: y − y 1=m(x − x 1).How to convert the point-slope form to the slope-intercept form y=mx+b? Draw a straight line through the two points.From this point, use the slope to determine a second point:įor example, if the slope m = 2/3, rise 2 units up and run 3 units to the right to find your second point.Plot the given point (x 1, y 1) on the graph.How to graph the line from the point and the slope? Rearrange the terms to get the equation in the form Ax + By = C If “ m” is a fraction, multiply every term by the denominator to eliminate fractions.Distribute the right side: y − y 1 = mx − mx 1.Start with the point-slope form: y − y 1 = m(x − x 1).How to convert the point-slope form to the standard form Ax+By=C? So, the equation of the line in slope-intercept form is y = 4x − 5. Given the point (2, 3) and a slope m = 4, let's find the equation of the line. Simplify the equation (optional): You can rearrange the equation to get it in slope-intercept form y=mx+c or standard form Ax+By=C, depending on your preference or the requirements of your task.Input the given values: Insert the known values for the slope “ m” and the point (x 1, y 1) into the point-slope formula.To find the equation of a line given a slope “ m” and a point (x 1, y 1), you can use the point-slope form of a linear equation: How to find the equation of a line with slope and point? Input values into Point-Slope Formula: Use the y-intercept (0, c) as your x 1,y 1 in the point-slope formula.You can use this point to write the equation in point-slope form. Use the Y-intercept as the Point: In the slope-intercept form, you always have a known point on the line: the y-intercept (0, c).Determine the Slope and Y-intercept: From the equation y=mx+c, determine the values of slope “ m” and y-intercept (c).Y = 2.5x - 10 FAQs How to convert slope intercept form to point slope form?īelow are the steps to convert y=mx+c to y−y 1=m(x − x 1): Step 3:Now place the slope and 1 point of the line to the point-slope equation. Step 1:Write the given points of the line. Step 2: Place the values in the point slope formula and solve the equation.Įvaluate the linear equation of the line whose coordinate points are (10, 15) and (12, 20) Step 1:Identify and write down the values. To find the equation of a straight line without a point slope form calculator, follow the below examples.įind the equation of a line whose known points are (2, 3) and the slope of line is 8. x 1, y 1 are the coordinates of a point.The point slope equation can be expressed as: You can find the equation of point-slope form in the below section. ![]() It is used to evaluate the steepness of the line. The slope of the line is the ratio of the change in the values of the y-axis and the change in the values of the x-axis. The equation of a line can be determined by using the point-slope form or slope intercept form. The point slope form highlights the slope of the line and a point on the line. Point slope form is a general form for linear equations. Point slope calculator is an online tool developed to find the equation of a straight line using the slope and point on that line or two points. ![]()
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