# How do you find the equation of a line in slope-intercept form?

## How do you find the equation of a line in slope-intercept form?

Solutions. 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.

How do you find the equation of a line with one point and the slope calculator?

How to find the equation of a line with slope and coordinates of a point?

1. Identify the point coordinates: x1 = 2 , y1 = -3 .
2. Identify the slope: m = 2.
3. Input the values into the point slope form formula: y – y1 = m (x – x1) y – (-3) = 2(x – 2)
4. Simplify to get the general equation: y = 2x – 4 -3. 0 = 2x – y – 7.

How do you write an equation in slope-intercept form with two points?

Once you know m and b, you can write the equation of the line.

1. Step 1: Find the slope (m) The slope of the line through two points (x1,y1) and (x2,y2) can be found by using the formula below.
2. Step 2: Find the y-intercept (b)
3. Step 3: Write the equation in slope-intercept form (y = mx + b)
4. Step 4: Check Your Equation.

### What is the equation of the line calculator?

Frequently Asked Questions on Equation of a Line Calculator Standard Form: Ax + By= C. Slope Intercept Form: y= mx + b. Point Slope Form: y -y1 = m (x – x1)

How do you find M and B in Y MX B?

In the equation y = mx + b for a straight line, the number m is called the slope of the line. Let x = 0, then y = m • 0 + b, so y = b. The number b is the coordinate on the y-axis where the graph crosses the y-axis. What is the coordinate on the y-axis where the graph of y = 2x + 3 crosses y-axis?

What is the equation of the line that passes through the point (- 3 4 and has an undefined slope?

x = 3
Undefined Slope Examples The equation of the line passing through (3, -4) with an undefined slope is x = 3.

#### What is the equation of the given line in the point-slope form?

y = mx + b
The point slope formula is of the form y − y1 1 = m (x − x1 1 ) whereas the slope-intercept formula is of the form y = mx + b, where ‘m’ is the slope, ‘b’ is the y-intercept, and (x1 1 , y1 1 ) is a point on the line. To derive the slope-intercept formula from point slope formula, we will just have to solve it for y.

How do you write the slope-intercept form of the equation of the line through the given point with the given slope?

The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.

What is the equation of the line that passes through the point − 8 5 − 8/5 and has a slope of 0?

1 Expert Answer The equation is y = 5. Therefore y = mx + b and y = 0x + 5 or y = 5.