Question

Slope 1/2, passes through (6,4)
Write in slope-intercept form

Answer 1

`\large\boxed{y=(1)/(2)x+1}`

Explanation:

`\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\\\\text{We have:}\ m=(1)/(2)\ \text{and the point}\ (6,\ 4).\\\\\text{The equation:}\ y=(1)/(2)x+b.\\\\\text{Put the coordinates of the point to the equation:}\\\\4=(1)/(2)(6)+b\\\\4=3+b\qquad\text{subtract 3 from both sides}\\\\1=b\to b=1\\\\\text{Finally:}\\\\y=(1)/(2)x+1`