Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

When given the equation y = 3/4x − 6 , Find the x intercept and y intercept.

Sagot :

Answer:

the y-intercept is (0,-6)

the x-intercept is (8,0)

Step-by-step explanation:

Solving for the y-intercept:

Since the equation 'y=3/4x - 6' is in the 'y=mx + c' form (where m is the slope and c is the y-intercept):

3/4 is m (which is the slope)

-6 is c (which is the y-intercept)

Solving for the x-intercept:

When the line intersects with the x-axis, the y-value is 0. Hence, the coordinate is (x,0). Substituting this into 'y=3/4x - 6':

0 = 3/4x - 6

3/4x - 6 + 6 = 6

3/4x = 6

x = 4/3 * 6

= 8

Hence,

the y-intercept is (0,-6)

the x-intercept is (8,0)

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D