The equation of a straight line can be written in different forms depending on the data give. One of such forms is the point-slope form. The point-slope form includes the slope of the straight line and a point on the line as the name suggests. There can be infinite lines with a given...
Try another example. Graph the line for the equation:$$y+5=\frac{2}{3}(x+7) $$ Plot the point at the x and y values from the equation. Remember, the general formula for point-slope form is: $$(y-y_1)=m(x-x_1) $$ ...
Point Slope Form equation of a line is the equation of a line passing through the point on it with slope m. Get the formula of point slo[e form of a line equation and solved examples here.
Just replace the slope and the point into the formula using m = 2 and x1 = 3 and y1 = 4 After replacing the slope: y - y1 = 2 (x - x1) After replacing (x1, y1) : y - 4 = 2 (x - 3) Example #2 Given m = 8 and (-3, 4) ...
Example 1 Write the point slope equation of a line with slope 3 that passes through the point(-2, 5) Step 1 Substituteslopefor 'm' and the coordinates forx1andy1into theformula. y − y1= m(x − x1) y − 5 = 3(x − -2) ...
For example, if the slope is 3 and the point (-1, 2) is on the line, the equation would be y - 2 = 3(x +1). Why is this called point slope form? To put the equation into point slope form, the slope of the line, m, and one point that is on the line must be known. ...
Write the final equation in slope-intercept form. Show Solution Now, let’s look at an example in which we start with two points and find the equation of the line that passes through them.Example Find the equation of the line that passes through the points (3,4)(3,4) and (0,−3...
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Example 5: Writing Linear Equations Using a Point and the Slope Write the point-slope form of an equation of a line with a slope of 3 that passes through the point (6,−1)(6,−1). Then rewrite it in the slope-intercept form. Solution Let’s figure out what we know from ...
The point slope form calculator, formula, example calculation (work with steps) and practice problems would be very useful for grade school students (K-12 education) to learn what are different equations of a line in geometry, how to find the general equation of a line. They will be able ...