Question

X-intercept o a line with slope of -2and a point (3,4)

Answer 1

Answer: x = 5

Explanation:

Our task is to find the x-intercept of a line that:

• has a slope of -2
• passes through (3,4)

We're going to use the point-slope formula:

• 
  `\sf{y-y_1=m(x-x_1)}`

Substitute the point & the slope:

• 
  `\sf{y-4=-2(x-3)}`

Distribute -2:

• 
  `\sf{y-4=-2x+6}`

Add 4 to both sides:

• 
  `\sf{y=-2x+6+4}`
• 
  `\sf{y=-2x+10}`

Now, to find the x-intercept, set y equal to 0 and solve:

`\sf{0=-2x+10}`

Subtract 10 from both sides:

`\sf{-10=-2x}`

Divide both sides by -1:

`\sf{10=2x}`

Finally, divide both sides by 2:

`\sf{x=5}`