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