Mathematics: Write an equation for the line that is parallel to the given line and that passes through the given point. y equals five halves x minus 10; the point negative 6, negative 29 a. y equals five halves x plus one hundred thirty three halves b. y equals five halves x minus 14 c. y equals two fifths x minus 14 d. y equals negative two fives x plus 14

UUExainariomw: George Washington...

Write an equation for the line that is parallel

htx88

11.03.2022

The correct option is B.

Step-by-step explanation:

The slope intercept form of a line is

y=mx+b

where, m is slope and b is y-intercept.

The given equation is

$y=\frac{5}{2}x-10$

It means the slope of the line is 5/2 and y-intercept is -10.

The slope of two parallel lines is same. So, the slope of required line is 5/2.

The equation of required line is

$y=\frac{5}{2}x+b$

It is given that the line passes through the point (-6,-29).

$(-29)=\frac{5}{2}(-6)+b$

-29=-15+b

-29+15=+b

-14=b

The y-intercept of required line is -14. So the equation of required line is

$y=\frac{5}{2}x-14$

Therefore the correct option is B.

0,0(0 оценок)