Q:
# How Do You Find the Equation of a Line If You're Given Two Points?

The way to calculate the equation of a line that includes the points (x,y) and (x1, y1) is to plug them into the equation y - y1 = m(x - x1) and solve for m, the slope of the line. The way to convert this to y = mx + b form is to plug one point and the slope into the same equation and solve for y.

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Linear equations describe straight lines as they appear on a graph. Linear equations are most commonly described in slope-intercept form, written as y = mx + b. The letters x and y refer to the horizontal and vertical coordinates of any point on the line as it is graphed. The m refers to the slope of the line, and b refers to the x-coordinate of the point on the line when it crosses the y-axis.

The second most common form of linear equations is written in point-slope form as y - y1 = m (x - x1). This form is commonly used when only one point (x1, y1) and the slope m are known or when only two points on the line are known.

For straight vertical lines, the equation is x = x1, with no slope or y values given. This is because the slope for vertical lines is undefined, and for every value of y, x will always be the same number.

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Q:
## How Do You Solve an Equation Using Slope-Intercept Form?

A: The slope-intercept form of the equation of a line is y = mx + b, where m is the slope of the line and b is the y intercept. To solve for y, multiply the x... Full Answer >Filed Under: -
Q:
## How Do You Write an Equation of a Line?

A: Find the slope of the line (m), and the place where the line crosses the y-axis, known as the y-intercept (b), to write the equation in slope-intercept for... Full Answer >Filed Under: -
Q:
## How Is 3x + 2y = 8 Solved?

A: To solve the slope of 3x + 2y = 8, the equation must first be put into slope intercept form with y on the left side and the remaining numbers on the right ... Full Answer >Filed Under: -
Q:
## What Is a Slope Intercept Calculator?

A: A slope intercept calculator is a tool used to determine the slope-intercept form of an equation for a line passing through two points on a Cartesian coord... Full Answer >Filed Under: