And let's replace x with four. And then we can isolate b. So what is 3 over 2 times 4 how can weMoreAnd let's replace x with four. And then we can isolate b. So what is 3 over 2 times 4 how can we multiply an improper fraction by a whole number. Well we could first multiply 3 times 4 which is 12.
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.
The general formula for a linear equation is y = m x + b , where x represents our x-coordinates, y represents our y-coordinates, m represents the slope, or steepness, of our line, and b represents the y-intercept, or point that intersects the y-axis, of our line.
Since we know two points on the line, we use the two-point form to find its equation. The final equation is in the slope-intercept form, y = mx + b.
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 we know. We know that when X is equal to 5 Y is equal to 8. So we can say. We can say so when XMoreSo we know. We know that when X is equal to 5 Y is equal to 8. So we can say. We can say so when X is equal to 5 Y is equal to Y is equal to 8. So we could say 8.
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.
The point slope form is written like this: y-y1=m(x-x1) where m is the slope, and (x1,y1) can be either one of the two points you are given. First, we need to find the slope m from the given points.
Point-slope form: y-a = m(x-b). For example, your slope (m) is 3 and your point (a,b) is 9,10. You would substitute your y-coordinate for a, and your x- coordinate for b. Your new equation would look like this: y-10 = 3(x-9).
A line represented by the 𝑥 - and 𝑦 -intercepts in the form 𝑥 𝐴 + 𝑦 𝐵 = 1 can be represented in general form by multiplying the whole equation by the common denominator ( 𝐴 ∗ 𝐵 ) and rearranging the terms: 𝐵 𝑥 + 𝐴 𝑦 − 𝐴 𝐵 = 0 .