math help

classic Classic list List threaded Threaded
2 messages Options
Maggie Maggie
Reply | Threaded
Open this post in threaded view
|

math help

Find the equation of the line that passes through the point (5, 5) and is parallel to the line 3𝑥 − 5𝑦 = −7
AlgebraHouse AlgebraHouse
Reply | Threaded
Open this post in threaded view
|

Re: math help

Parallel lines have equal slopes.

3x - 5y = -7
-5y = -3x - 7   {subtracted 3x from each side}
y = (3/5)x - 7   {divided each side by -5}
slope = 3/5

line through (5,5) with a slope of 3/5

y = mx + b   {slope-intercept form}
m is the slope and b is the y-intercept}
5 = (3/5)(5) + b   {substituted 3/5 in for slope into slope-intercept form}
5 = 3 + b   {multiplied}
b = 2   {subtracted 3 from each side}

y = (3/5)x + 2   {substituted slope and y-intercept into slope-intercept form}

- Algebra House