# What are the intercepts of : #5y= 7x - 19#?

##### 3 Answers

#### Explanation:

To find the

Now we solve for when

To check our work, let''s graph the equation and make sure our intercepts are correct

graph{5y = 7x-19}

Yep, we were right!

#### Explanation:

To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'.

To find the y-intercept, plug 0 in for 'x' and solve for 'y'.

Given equation is

To find x intercept : when y = 0,

To find y intercept : when x = 0,

graph{(7x - 19) / 5 [-10, 10, -5, 5]}

The x-intercept is

The y-intercept is

#### Explanation:

Given:

Solve for

where:

Divide both sides by

**The y-intercept is the value of #y# when #x=0#.**

**The y-intercept is #(0,-19/5)# or #(0,-3.8)#**

**The x-intercept is the value of #x# when #y=0#.**

Substitute

Multiply both sides by

Simplify.

Add

Divide both sides by

**The x-intercept is #(19/7,0)~~(2.714,0)#**

graph{y=7/5x-19/5 [-10, 10, -5, 5]}