SOLUTION: through (7,2) parallel to 3x-y=8 written in slope intercept form and standard form?

Question 282218: through (7,2) parallel to 3x-y=8
written in slope intercept form and standard form?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
First, get the main equation into slope-intercept form: y = mx + b
.
3x -y = 8
-y = -3x +8
y = 3x - 8
.
Second, you recall that any line with slope = 3 will be parallel to this line.
Your problem is define such a line that goes through the point (7,2).
Well, plug x=7 into the equation and then adjust 'b' to make y=2.
.
y = 3x -b
2 = 3(7) -b
2 = 21 -b
-19 = -b
b = 19
.
so,
y = 3x -19 will be parallel and will go through the point.
.
Check by graphing the two equations. y=3x-8 is red; y=3x-19 is green.

.
Rechecking the question, this equation needs to be shown in slope-intercept and in standard form.
y = 3x-19 :: slope-intercept form
.
Standard form is: Ax + By = C
.
subtract 3x from both sides
-3x + y = -19
.
multiply both sides by -1
.
3x -y = 19 :: standard form
.
Done
RELATED QUESTIONS
slope-intercept form through (2,4) parallel to... (answered by Alan3354)

passes through (6,2) parallel to y=-2/3x+1 write in slope-intercept... (answered by josgarithmetic)

Find the line through the point (1,4) and parallel to y = 3x-2. Write the equation in... (answered by josgarithmetic)

Write the equation of the line below in slope-intercept form and standard form: Is... (answered by Alan3354)

an equation in point- slope form and slope- intercept form for (Passing through (-2,-7)... (answered by lwsshak3)

Find the midpoint of the line segment with endpoints (-8,4) and (-2,-6) Find the... (answered by josgarithmetic)

parallel to y=3x+1 through (4,-1) in slope intercept... (answered by Fombitz)

What is the equation of the line described below written in slope-intercept form? the... (answered by rothauserc,MathLover1)

Write an equation in slope-intercept form for the line that is parallel to the given line (answered by Fombitz)