Find the equation for the line that passes through the point (1,-3) and that is parallel to the line with the equation 3/2x-2y=-17/2

The equation for the line that passes through the point (1,-3) and that is parallel to the line with the equation is:

Given that line that passes through the point (1, -3) and that is parallel to the line with the equation

We have to find equation of line

The slope intercept form is given as:

y = mx + c

Where "m" is the slope of line and "c" is the y-intercept

Let us first find slope of line containing equation

Rearrange the above equation into slope intercept form

On comparing the above equation with slope intercept form y = mx + c,

So the slope of line containing equation is

We know that slopes of parallel lines are equal

So the slope of line parallel to line having above equation is also

Now let us find the equation of line having slope m = 3/4 and passes through point (1 , -3)

Substitute and (x, y) = (1 , -3) in slope intercept form

y = mx + c

Thus the required equation of line is:

substitute and in slope intercept form

Thus the equation of line is found out

7

step-by-step explanation:

the answer would be 7