Find the slope-intercept form of the equation of the line satisfying the given conditions. Do no

step 1 In this question we need to find the slope intercept form of equation of line which passes throu

Find the slope-intercept form of the equation of the line...

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Key Concepts

Calculating Slope from Two Points

Finding the slope using two known points involves subtracting the y-values and the x-values of those points separately and then dividing the difference in y by the difference in x. This method is fundamental in coordinate geometry for establishing the rate of change between the coordinates.

Slope

The slope of a line represents the rate at which the line rises or falls as you move along the x-axis. It is calculated as the ratio of the change in the y-coordinate to the change in the x-coordinate between any two points on the line, serving as a measure of the line’s steepness and direction.

Slope-Intercept Form

The slope-intercept form of a linear equation is expressed as y = mx + b, where m is the slope and b is the y-intercept. This form is useful because it directly shows the slope of the line and the point where the line crosses the y-axis, making it easy to graph and understand the line’s behavior.

Determining the Equation of a Line

Once the slope is found, one can determine the equation of the line by substituting the slope and the coordinates of any point on the line into an equation form like the point-slope or slope-intercept form. This process yields the complete linear equation that uniquely identifies the line in the coordinate plane.

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