For both equations, the x-intercept is ( 11/5 ,0).
For both equations, the y-intercept is (0,−11).
The slope for both equations is 5.
To find the x-intercept and y-intercept of a graph given an equation, you can use the following steps:
Equation 1:
3y−15x=−33
X-Intercept:
Set
y=0 and solve for x:
3(0)−15x=−33
Solve for x:
−15x=−33
x= 33/15 = 11/5
So, the x-intercept is ( 11/5 ,0).
Y-Intercept: Set
x=0 and solve for y:
3y−15(0)=−33
Solve for y:
3y=−33
y= −33/3 =−11
So, the y-intercept is (0,−11).
Slope:
The given equation is in the form
mx+ny=p, where
m is the coefficient of x.
So, the slope (m) is 15/3 =5.
Equation 2:
y−5x=−11
X-Intercept:
Set
y=0 and solve for x:
0−5x=−11
Solve for x:
−5x=−11
x= 11/5
So, the x-intercept is ( 11/5 ,0).
Y-Intercept: Set
x=0 and solve for y:
y−5(0)=−11
Solve for y:
y=−11
So, the y-intercept is (0,−11).
Slope:
The given equation is in the form
mx+ny=p, where
m is the coefficient of x.
So, the slope (m) is 5.