Write the equation of the line with a slope of ½ and a y-intercept of 3.
The equation of a line can be written in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
Given that the slope is 1/2 and the y-intercept is 3, the equation of the line is:
y = (1/2)x + 3
To write the equation of a line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, follow these steps:
Step 1: Begin with the value of the slope.
Given that the slope of the line is ½, we can substitute this value for m in the equation.
So far, our equation is y = ½x + b.
Step 2: Substitute the value of the y-intercept.
Given that the y-intercept of the line is 3, we can substitute this value for b in the equation.
The final equation of the line with a slope of ½ and a y-intercept of 3 is:
y = ½x + 3