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 li

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 – 1)
5x+y=-1

in progress 0
1 week 2021-09-13T12:26:53+00:00 2 Answers 0

Answers ( )

    0
    2021-09-13T12:27:54+00:00

    Answer:

    y= -5x+12

    Step-by-step explanation:

    slope int form ; y=mx+b

    that is the only option in that form.

    0
    2021-09-13T12:28:21+00:00

    Answer:

    the equation is y = 5x + 12

    Step-by-step explanation:

    The equation of line is 10x – 2y=-2

    Write this equation in slope intercept form of line y = mx + b

    10x-2y=-2\\\\2y=10x+2\\\\y=5x+1

    Therefore, the slope of the line is m = 5

    Now, we know that parallel lines have same slope.

    Hence, slope of the required line is also 5.

    Thus, the equation of line is in the form y = 5x + b

    Now, use the point (0,12) to find b

    12= 5(0) + b

    b = 12

    Hence, the equation is y = 5x + 12

Leave an answer

Browse
Browse

27:3+15-4x7+3-1=? ( )