Write an equation for a line with a slope of 3 and a y-intercept of (0, 2).
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Answer:
Step-by-step explanation:
The equation of a line can be written in several forms. Two of the most-used forms are the point-slope and the slope-intercept forms.
The point-slope form requires to have one point (xo, yo) through which the line passes and the slope m. The equation expressed in this form is:
The slope-intercept form requires to have the slope m and the y-intercept b, or the y-coordinate of the point where the line crosses the y-axis. The equation is:
The line considered in the question has a slope m=6 and passes through the point (8,-2). These data is enough to find the point-slope form of the line:
To find the slope-intercept form, we operate the above equation: