Question

A given line has the equation 10x 2y=−2 . what is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? y=−5x 12 5x y=12 y−12=5(x−0) 5x y=−1

Answer 1

The equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 1

Equation of a line

A line is the distance between two points

Given the equation of a line expressed as 10x + 2y = -2. Determine the slope

2y = -10x -2

y = -5x - 1

Slope of the line is -5

The equation of a line in point-slope form is y - y1 = m(x-x1)

Substitute the point and the slope of the parallel line

y - 12 = -5(x  - 0)
y - 12 = -5x
y = -5x + 12

Hence the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 12

Learn more on equation of a line  here: brainly.com/question/13763238

#SPJ4