# How do you find the equation of a line given the slope and a point?

## How do you find the equation of a line given the slope and a point?

These are the two methods to finding the equation of a line when given a point and the slope:

1. Substitution method = plug in the slope and the (x, y) point values into y = mx + b, then solve for b.
2. 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.

## What is the slope for 10?

Table of Common Slopes in Architecture

4.76° 1 : 12 8.3%
7.13° 1 : 8 12.5%
10° 1 : 5.67 17.6%
14.04° 1 : 4 25%

What is the slope of 10 Y?

Algebra Examples Using the slope-intercept form, the slope is 0 .

### What is the formula in solving the slope of a line if two points are given?

We’ve shown that m=y2−y1x2−x1 m = y 2 − y 1 x 2 − x 1 is really another version of m=riserun m = rise run . We can use this formula to find the slope of a line when we have two points on the line.

### How do you find the equation of a line?

How to Find the Equation of a Line from Two Points

1. Find the slope using the slope formula.
2. Use the slope and one of the points to solve for the y-intercept (b).
3. Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

What is the slope of 10 and 0?

Using the slope-intercept form, the slope is 0 .

Slope
9 1 15.8
10 1 17.6
11 1 19.4

## What is the y-intercept of 10?

Algebra Examples Using the slope-intercept form, the y-intercept is 10 .

What is Y 10 in slope-intercept form?

Algebra Examples The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the y-intercept is −10 .

### Which is the correct formula for slope of a line?

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).

### What is the formula to calculate slope?

The slope equals the rise divided by the run: Slope =riserun Slope = rise run . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it.

How do you find the slope of a line with two points?

Write the equation in slope–intercept form. Since we have two points, we will find an equation of the line using the point–slope form. The first step will be to find the slope. Find the slope of the line through (−3, −1) and (2, −2). Choose either point. Write in slope–intercept form. Find an equation of a line containing the points and .

## Does it matter which point is labelled as which in slope?

Note that it does not matter which point is labelled as which. The formula for slope is: m= (y1-y2) ⁄ (x1-x2). Remember that slope is “rise over run,” so you do not accidentally swap the x and y values in the formula. If a line runs through the points (1, 2) and (-1, -1), label the first point (x 1, y 1) and the second (x 2, y 2 ).

## What does it mean when the slope of a line is zero?

Zero slope, m = 0 m = 0, if a line y = mx + b y = m x + b is horizonal. In this case, the equation of the line is y = b y = b; Undefined slope, if a line y = mx + b y = m x + b is vertical. This is because division by zero leads to infinities.

What is the slope of the Blue Line in the graph?

The blue line’s slope is the opposite reciprocal. 2 ⁄ 3 inverted is 3 ⁄ 2, and the adding the negative sign makes it -3 ⁄2. Therefore, -3 ⁄2 is the slope of the blue line.