Question

-5x=-y-10
find the x and y intdrcept

Answer 1

X Intercept : (2,0)
Y Intercept : (0,-10)

Answer 2

x-intercept = 2

y-intercept = -10

Explanation:

The x and y-intercepts show where the line crosses the axes.

X-Intercept

The x-intercept is where the line crosses over the x-axis. For linear functions, there is always exactly one x-intercept. The x-intercept occurs where y = 0. So, to find the x-intercept we can plug 0 in for y and solve for x.

• -5x = 0 - 10
• -5x = -10

Then, divide both sides by -5.

• x = 2

So, the x-intercept is at (2,0).

Y-Intercept

Similarly, the y-intercept is where the line crosses over the y-axis. Again, for linear functions, there is always one y-intercept. The y-intercept occurs where x = 0. So, to find the y-intercept we can plug 0 in for x and solve for y.

• -5(0) = -y - 10
• 0 = -y - 10

Then, add y to both sides.

• y = -10

So, the y-intercept is (0,-10).