Question

What is the equation of the line in slope-intercept form that passes through point (0, −2) and is parallel to the line y = -1/2x + 6? Show all necessary steps.

Answer 1

Answer:The equation of line parallel to ​y=5x+2 that passes through the point with coordinates (−2,1) is:

Step-by-step explanation:

Given line is:

y=5x+2

Given equation is in slope-intercept form, the coefficient of x will be the slope of line

So slope is 5

As parallel lines have equal slopes the required line will also have slope 5.

Slope-intercept form is:

y=mx+b

Putting the value of slope

y=5x+b

To find the value of b, putting (-2,1) in equation

Putting the values of b and m

The equation of line parallel to ​y=5x+2 that passes through the point with coordinates (−2,1) is:

Keywords: Equation of line, Slope-intercept form

Step-by-step explanation:

Answer 2

Answer:

• y = - 1/2x - 2

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Parallel lines have equal slopes.

The line we are looking for has the form of:

• y = - 1/2x + b

Given point is the y-intercept, since its x-coordinate is zero, therefore b = - 2.

The line becomes:

• y = - 1/2x - 2