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Write the equation that describes the line in slope intercept form:

slope = 8, y - intercept = 2

User ErickBest
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Final answer:

The equation of the line with a slope of 8 and a y-intercept of 2 is y = 8x + 2. This equation is in slope-intercept form, directly translating into the line's angle and position on a coordinate plane.

Step-by-step explanation:

The student is asking for an equation of a line in slope-intercept form, which is expressed as y = mx + b. In this formula, m stands for the slope, and b represents the y-intercept. These parameters determine the shape and position of the line on a coordinate plane.

Given that the slope (m) is 8 and the y-intercept (b) is 2, the equation of the line is y = 8x + 2.

This is the canonical form of the equation for a line, showing a direct relationship between the values in the equation and the graphical representation. The slope indicates that for every increase of one unit in x, y increases by 8 units. The y-intercept indicates that the line crosses the y-axis at the coordinate point (0, 2).

User Siddiq Abu Bakkar
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