slope intercept form?

Question

write the slope intercept form of an equation of the line that parallel to 3x+7y=9 and passes through (5, -2)

Answer 1

3x+7y=9 can be written as 3x+7y-9=0
This is in standard form Ax+By+C=0
The slope of the line is -A/B, or -3/7
Since the line you are trying to find is parallel, its slope is also -3/7
Using the given coordinate, rewrite the problem with the slope:
-2 = -3/7 x 5 + b
-2 = -15/7 + b
1/7 = b

The answer of your question is y = (-3/7)x + 1/7

Answer 2

you're effectively given 2 factors wherein your line passes, that's sufficient to define a right this moment line. One element you're given explicitly as (2, 4). The x coordinate of your different element is your x intercept. because of the fact this is an x-intercept, the y coordinate of that element is without delay 0. Your 2nd element is subsequently (-2, 0). From those 2 factors, you will come across a slope. Taking your unique element to be one million and your x intercept to be element 2, you get for the slope: m = (y2 - y1) / (x2 - x1) = (0 - 4) / ((-2) - 2) = (-4) / (-4) = one million This slope you may now plug into the element-slope style alongside with the two of your factors (i pick element one million) to get y - y1 = m * (x - x1) or y - 4 = one million * (x - 2) If we choose, we are able to unravel for y and alter this into slope-intercept style, giving y = x + 2

Answer 3

parallel so the slope would equal 3
write in point-slope first
y-(-2)=3(x-5)
y=3x-17