Question

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

Answer 1

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)

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