So what we need to do is identify two points on a line. Let's look at those two points the x and yMoreSo what we need to do is identify two points on a line. Let's look at those two points the x and y intercepts.
The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = − 3 x + 5 , we see that the slope of the line is − 3 .
The steps to write the standard form of a number are as follows: Step 1: Write the first number from the given number. Step 2: Add the decimal point after the first number. Step 3: Now, count the number of digits after the first number from the given number and write it in the power of 10.
We can rewrite an equation in slope-intercept form (y=mx+b) to be in standard form (Ax+By=C) instead.
How do you rewrite an equation into standard form? A linear equation in standard form has the form Ax+By=C. So, to rewrite an equation in standard form, first move the x and y terms to the same side of the equal side. Then, check to be sure that the coefficients A, B, and C are all integers.
To find the slope using a general or standard form equation, use the slope formula: m=-A/B where A and B are integer variables found in the equation. The m is the slope.
Answer and Explanation: To change slope-intercept form to standard form, use inverse operations and properties of equality to write the equation in the form A x + B y = C , where and are integers, is positive, and at least an or is present.
There are several orders in which you can accomplish the steps needed to change from point-slope to general form, but basically: subtract m(x-x1) from both sides: y - y1 -m(x - x1)= 0. distribute m, yielding y - y1 -mx +mx1 = 0. combine the constants y1 and mx1. Rearrange the order so you have -mx +y +(mx1-y1)=0.
There are several orders in which you can accomplish the steps needed to change from point-slope to general form, but basically: subtract m(x-x1) from both sides: y - y1 -m(x - x1)= 0. distribute m, yielding y - y1 -mx +mx1 = 0. combine the constants y1 and mx1. Rearrange the order so you have -mx +y +(mx1-y1)=0.
Since we have a graph, we can find the slope using rise over run, 6 2 = 3 and the y-intercept is (0, 6). The equation of the line, in slope-intercept form, is y = 3 x + 6 . To change the equation to general (standard) form, subtract the x-term to move it over to the other side.