What are y intercepts of the lines  6x+7y=35 , 6x-3y=-15 ?

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violy | High School Teacher | (Level 1) Associate Educator

Posted on

Note that we can also find the y-intercept by setting x= 0 and then solving for y. 

So, for 6x + 7y = 35:

6(0) + 7y = 35

7y = 35

Divide both sides by 7:

y = 5. Hence, we have a y-intercept at y = 5.

For 6x - 3y = -15:

6(0) - 3y = -15

-3y = - 15

Divide both sides by -3. 

y = 5. Hence, y-intercept is also at y = 5.

giorgiana1976's profile pic

giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

We'll have to put the given equations in the standard form:

y = mx + n, where m is the slope and n is y intercept.

To put it into the standard form, we'll have to isolate y to the left side. For this reason, we'll subtract 6x and add 35 both sides:

7y = -6x + 35

We'll divide by 7 both sides:

y = -6x/7 + 35/7

y = -6x/7 + 5

We notice that the y intercept of the line is 5.

6x-3y+15=0

To put it into the standard form, we'll have to isolate y to the left side. For this reason, we'll subtract 6x and 15 both sides:

-3y = -6x - 15

We'll divide by 3 both sides:

y = 2x + 5

We notice that the given line has the y intercept of 5, also.

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