slope intercept form to general form calculator

Substitute slope and y-intercept form to the general equation of slope intercept form to calculate it. If you need to calculate the slope using two points, use slope calculator. Step 2:Write the slope form equation and place the values. To find equation of a straight line with slope and y-intercept, follow the example below.įind the Straight line equation if y-intercept is 6 and slope is 4. Y = mx + c How to find the slope intercept form (equation of a straight line)? In UK, variable c is used to represent y-intercept. The equation of slope intercept varies in USA and UK. x, y represents the x and y coordinates,.The slope intercept equation can be represented as: Slope intercept is a form of linear equation that can be used to find the equation of a straight line with y intercept and slope of line. Ratio = “rise over run”, or vertical over horizontal # = ((-6)/1) = -6# for the slope, m.Ī line has the general form of y = mx + b, or vertical position is the product of the slope and horizontal position, x, plus the point where the line crosses (intercepts) the x-axis (the line where z is always zero.) So, once you have calculated the slope you can put any of the two points known into the equation, leaving us with only the intercept 'b' unknown.Slope intercept form calculator is an online tool that is used to find slope intercept form (equation of line) using two points, y-intercept, or one point and slope. Thus, for any two points defined by Cartesian (planar) coordinates such as those given in this problem, you simply set up the two changes (differences) and then make the ratio to obtain the slope, m. Y = mx + b Calculate the slope, m, from the given point values, solve for b by using one of the point values, and check your solution using the other point values.Ī line can be thought of as the ratio of the change between horizontal (x) and vertical (y) positions. Make sure that B is not equal to zero if it is, the slope-intercept form does not exist. Where #color(red)(m)# is the slope and #color(blue)(b)# is the y-intercept value.

The slope-intercept form of a linear equation is: #y = color(red)(m)x + color(blue)(b)# Now, solve for #y# to put the equation in slope-intercept form. Substituting the slope we calculated and the first point gives: Where #color(blue)(m)# is the slope and #color(red)(((x_1, y_1)))# is a point the line passes through. The point-slope formula states: #(y - color(red)(y_1)) = color(blue)(m)(x - color(red)(x_1))# Next, we can write an equation in point-slope form. Substituting the values from the points in the problem gives: Where #m# is the slope and ( #color(blue)(x_1, y_1)#) and ( #color(red)(x_2, y_2)#) are the two points on the line. The slope can be found by using the formula: #m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))# First, we need to determine the slope of the line passing through these two points.

Slope intercept form to general form calculator