Question

Write the slope-intercept form of the equation of the line described, through:(5,0),parallel to y equals 1/3x-2

Answer 1

`\large \boxed{y= (1)/(3)x - (5)/(3)}`

Explanation:

(a) Slope of parallel line

y = ⅓x -2

slope = ⅓

The parallel line has slope = ⅓.

(b) Equation for parallel line

The slope-intercept formula for a straight line is

y = mx + b

Insert the value of m and the coordinates of the point,

0 = ⅓(5) + b

b = -⁵/₃

`\text{The equation for the parallel line is $\large \boxed{\mathbf{y= (1)/(3)x - (5)/(3)}}$}`

The graph is a straight line that passes through (5, 0) and has a slope of ⅓.