Write an equation in slope-intercept form of the line satisfying the given conditions. Parallel to 7x+2y=10 and the same y-intercept as 8x-4y=3

Answer 1

The slope-intercept form of the equation of a line is:: y = mx + b

where:

m = slope

b = y-intercept [the place where x=0]

The Standard Form of the equation of a line is: Ax + By = C

where, by convention, A is positive, and A,B, and C are integers with no common factors.

Now, if you convert the Standard Form, once and forevermore, into the slope-intercept form, you find:

m = (-A/B)

b = (C/B)

Do this once and then remember it for homework and for tests.

Lines that are parallel have the same slope, so the desired line looks like:

7x + 2y = C with a slope of (-7/2)

and the y-intercept is (-3/4).

In slope-intercept form, the desired line is: y = (-7/2)x - (3/4)

Just to check, convert 7x+2y=10 to (-7/2)x + 5 to get a slope of (-7/2).

Convert 8x-y4=3 to y=2x - 3/4 to get a y-intercept of (-3/4)

Then write the equation as: y = (-7/2)x -(3/4)