Find the intercept and the x intercept for the equation 5x+6y =150. I just can't seem to figure this out.
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Put the equation in slope-intercept form.
5x+6y = 150
6y = 150-5x
y = 25-(5/6)x
The y-intercept occurs when x=0:
y = 25-(5/6)*0
(0, 25)
The x-intercept occurs when y=0:
0 = 25-(5/6)x
25 = (5/6)x
x=30
(30,0)
To find the intercepts of the equation 5x + 6y = 150, we need to understand the concept of intercepts.
The intercepts are the points where a line crosses the x-axis (x-intercept) or the y-axis (y-intercept). To find the x-intercept, we set y = 0 and solve for x. To find the y-intercept, we set x = 0 and solve for y.
Let's start with finding the x-intercept:
Step 1: Set y = 0 in the equation.
5x + 6(0) = 150
5x = 150
Step 2: Solve for x.
x = 150/5
x = 30
Therefore, the x-intercept is 30.
Now let's find the y-intercept:
Step 1: Set x = 0 in the equation.
5(0) + 6y = 150
6y = 150
Step 2: Solve for y.
y = 150/6
y = 25
Therefore, the y-intercept is 25.
In conclusion, the x-intercept is 30 and the y-intercept is 25.