Question

state the x- and y-intercepts of the function. -10x - 10y = -20

Answer 1

Answer:

x=−y+2

y=−x+2

Step-by-step explanation:

Answer 2

Answer:

x-intercept = (2,0) or just 2

y-intercept = (0,2) or just 2

Step-by-step explanation:

For any linear equation in standard form:

Ax+By=C

The y-intercept is C/B and the x-intercept is C/A. This is possible because at the y-intercept x=0 and at the x-intercept y=0. If this is hard to understand, here's the actual work:

Y-intercept:

A(0)+By=C

By=C

y=C/B

X-intercept:

Ax+B(0)=C

Ax=C

x=C/A

With this in mind, we can just plug in the values into our equations:

Y-intercept:

y = -20/-10

y = 2

X-intercept:

x = -20/-10

x = 2