Write an equation of the line that passes through the points. Then use the equation to sketch th

step 1 Hello friends we have to write an equation of the line that passes through the points so these a

Write an equation of the line that passes through the...

Key Concepts

Slope-Intercept Form

Slope-intercept form expresses a linear equation as y = mx + b, where m is the slope and b is the y-intercept, the point where the line crosses the y-axis. This format is particularly useful for graphing since the y-intercept provides a starting point and the slope indicates how to proceed from that point.

Graphing Lines

Graphing a line involves plotting the y-intercept on the graph and using the slope to determine additional points. Once two points are identified, a straight line is drawn through them, representing all possible solutions to the linear equation.

Point-Slope Form

Point-slope form is a way to express the equation of a line using a known point and the slope. It is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is any point through which the line passes. This form makes it straightforward to form an equation when a point and a slope are known.

Linear Equation

A linear equation represents a straight line in the coordinate plane and is commonly written in forms such as slope-intercept (y = mx + b) or point-slope (y - y1 = m(x - x1)). It describes a constant relationship between x and y values with a fixed rate of change.

Slope

The slope of a line is a measure of its steepness and direction, calculated as the ratio of the change in the vertical direction (rise) to the change in the horizontal direction (run) between two points on the line. This value indicates how much y increases or decreases as x increases.

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