Will get brainiest and 50

2. suppose y varies directly with x, and y = 15 and x = 5.
write a direct variation equation that relates x and y.
what is the value of y when x = 9?

3. write an equation in slope-intercept form of the line
that passed through (-3, 4) and (1. 4).

4. use point-slope form to write the equation of a line
that has a slope of 2/3 and passes through (-3, -1).
write your final equation in slope-intercept form.

5. write the equation in standard form using integers
(no fractions or decimals): = −2/3 − 1

6. write an equation of the line that passes through
(2, -1) and is parallel to the graph of y = 5x – 2. write
your final equation in slope-intercept form.

When  varies directly with , the equation for the line will be (called direct variation). It represents that  is the result of  being modified and nothing else being added or subtracted. Here's the math:

2. Suppose  varies directly with   and  and . Write a direct variation equation that relates  and . What is the value of  when ? 

replace  and  with the given values in a direct variation equation





solve for  (direct variation)



the equation for the line is , now solve for  when 





3. Write an equation in slope-intercept form of the line that passed through  and .

write the expression for slope when 



define variables



insert values into slope expression



simplify



now, plug in the slope into the equation  



solve for , plug in an  and  value from the given coordinate







4. Use point-slope form to write the equation of a line that has a slope of  and passes through . Write your final equation in slope-intercept form.

write the point slope form equation from the slope intercept form equation 



replace  with  and  with 



simplify



insert the slope for



simplify





5. Write the equation in standard form using integers: 

standard form is , so rearrange the variables into that form





multiply both sides by 



6. Write an equation of the line that passes through  and is parallel to the graph of . Write your final equation in slope-intercept form. 

parallel lines have the same slope, but different y-intercepts

to solve for the y-intercept of the second line, replace x and y with given values









ANSWERS:

2.  and  when 

3. 

4. 

5. 

6. 

Hope this helps! I have added the answer to Question #5!