Question

Write the equation in slope-intercept form of a line that has a slope of and passes through the point (-6, 0)

Answer 1

The equation of the line in slope intercept form with slope 1/3 and passes through ( - 6, 0) is y = 1/3x + 2.

In mathematics, the slope or gradient of a line is a number that indicates the line's steepness as well as its X and Y directions. The letter "m" stands for slope. The ratio of the "vertical change" to the "horizontal change" between any two separate points on a line is used to compute the slope.

The equation of the line in point-slope form is expressed as:

y - y₁ = m( x - x₁ )

where m is the slope.

So, m = 1/3

( x₁, y₁ ) is the point on the line = ( - 6, 0)

Substituting the values,

y - 0 = 1/3( x + 6 )

y = 1/3( x + 6 )

y = 1/3x + 6/3

y = 1/3x + 2

Hence, the equation in slope-intercept form of the line is y = 1/3x  + 2.

Learn more about slope intercept form here:

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