So let's start by writing the equation in point slope form. So all we need to do is replace y1 withMoreSo let's start by writing the equation in point slope form. So all we need to do is replace y1 with positive five M with negative 2 and X1 with negative four.
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.
So anytime that you need to write an equation we always start out in point slope. Form. So pointMoreSo anytime that you need to write an equation we always start out in point slope. Form. So point slope. Form here's our X1 y1 we're going to do y. Minus that y1 which is 1 so y + 1 equals our slope.
So we have three is equal to twenty over three plus b. Now to solve for b it's helpful if we can getMoreSo we have three is equal to twenty over three plus b. Now to solve for b it's helpful if we can get rid of this fraction i'm gonna multiply everything by three.
These are the two methods to finding the equation of a line when given a point and the slope: Substitution method = plug in the slope and the (x, y) point values into y = mx + b, then solve for b. Point-slope form = y − y 1 = m ( x − x 1 ) , where ( x 1 , y 1 ) is the point given and m is the slope given.
The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.
We can rewrite an equation in slope-intercept form (y=mx+b) to be in standard form (Ax+By=C) instead. In this example, we rewrite the slope-intercept equation y=2/3x+4/7 in standard form.
Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept). We can rewrite an equation in point-slope form to be in slope-intercept form y=mx+b, to highlight the same line's slope and y-intercept.
So anytime that you need to write an equation we always start out in point slope. Form. So pointMoreSo anytime that you need to write an equation we always start out in point slope. Form. So point slope. Form here's our X1 y1 we're going to do y. Minus that y1 which is 1 so y + 1 equals our slope.