69/15 = x And lastly, dividing -69 by 15 gives us.Īlright, so we know that when y is equal to -10, then x is equal to -4.6. 23/3 * 3/5 = x And multiplying this out will give us. 23/3 / 5/3 = x As for the left hand side, we know that dividing by a fraction is the same thing as multiplying by it's reciprocal, so it becomes 23/3 / 5/3 = 5/3x / 5/3 The right hand side cancels out 23/3 = 5/3x, so now we divide both sides by 5/3 So first, we subtract 13/3 from both sides. 10 = 5/3x + 13/3 and from this, we can solve for x in this situation. Now to compare this to when y equal to -10, we would have this: We also know from the given points that when y equals 6, x is equal to -1. The change in y over the change in x equals out to -10/6, or -5/3. This is seen when you compare the points and the slope. However if Sal were to use -10, the x value he would have to be different. If -10 from the slope were to be a valid option for a point in this equation, that means that the change in x would also have to be the accompanying point on the line to go with the change in y. He could not use -10, because -10 isn't necessarily a point on the line, because it's the change in y. (n.d.).He used 6 because it was one of the points for y on the line. what is slope intercept form? | Take Online Courses.Step 2: Now put the slope and y-intercept to the general expression of the slope intercept of the line. Step 1: First of all, take the given slope and y-intercept of the line. Step 3: Now put the slope and y-intercept to the general expression of the slope intercept of the line.Ĭalculate the linear equation of the line if the slope of the line is 5 and the y-intercept of the line is -3. Step 2: Now evaluate the y-intercept of the line. Step 1: First of all, take the given slope and the points of the line. Step 4: Now put the slope and y-intercept to the general expression of the slope intercept of the line.Ĭalculate the linear equation of the line if the slope of the line is 12 and points are (11, 4). Step 3: Now evaluate the y-intercept of the line. Step 1: First of all, take the given points of the line. Let us take a few examples to learn how to determine the linear equation of the line by using the slope intercept form.Ĭalculate the linear equation of the line if the given points are (3, -4) & (6, 8). Substitute the values of slope and y-intercept of the line to the general expression of the slope intercept form.After that, evaluate the y-intercept (b) of the line.First of all, calculate the slope (m) of the line.Here are the steps to find the slope intercept form. The equation of the straight line can be determined with the help of point slope form and the slope intercept form but the slope intercept form is the most accurate and prominent form of the linear equation of the line. “ m” is the slope (steepness) of the line.x & y are the fixed points of the line.The general expression of the slope intercept form is: What is the slope intercept form?Ī slope intercept form is a specific form of the straight-line equation. This slope intercept equation calculator will give the step-by-step solution to the given problems. Slope intercept calculator is used to find the equation of the line using two points, one point & slope, and y-intercept & slope.
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