Name the x -intercept of the graph, 𝐛. name the y -intercept of the graph, c. determine the slop

step 1 In this exercise, the equation of a line is going to be determined, as well as three other parts

Name the x -intercept of the graph, 𝐛. name the y -intercept...

Name the $x$ -intercept of the graph, $\mathbf{b}$. name the $y$ -intercept of the graph, c. determine the slope of the line, and $\mathbf{d .}$ write the equation of the line in slope-intercept form.
(GRAPH CANT COPY)

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Key Concepts

slope-intercept form

The slope-intercept form of a linear equation is written as y = mx + b, where m represents the slope and b represents the y-intercept. This form is useful because it succinctly summarizes the primary characteristics of the line, facilitating graphing and analysis.

x-intercept

The x-intercept is the point where a graph or line crosses the x-axis. At this point the value of y is zero, and identifying this point helps understand the behavior of the function when evaluated at different x-values.

y-intercept

The y-intercept is the point where a graph or line crosses the y-axis, at which point x is zero. This intercept is essential in determining the starting value of a function and is often used as the constant term in the equation of the line.

slope

The slope of a line measures its steepness and direction. Calculated as the ratio of the vertical change to the horizontal change between two points, the slope indicates whether the line ascends, descends, or remains constant as one moves along it.

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