Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)

<u>1) Plug the gradient into the equation (b)</u>

$y=mx+b$

We're given that the gradient of the line is 4. Plug this into $y=mx+b$ as m:

$y=4x+b$

<u>2) Determine the y-intercept (b)</u>

$y=4x+b$

Plug in the given point (1,10) as (x,y) and solve for b

$10=4(1)+b\\10=4+b$

Subtract 4 from both sides to isolate b

$10-4=4+b-4\\6=b$

Therefore, the y-intercept of the line is 6. Plug this back into $y=4x+b$ as b:

$y=4x+6$

I hope this helps!

8 0

3 years ago

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What is the area of this triangle?

Delicious77 [7]

If 2 plus 2 is four... then what the hell is this?

8 0

3 years ago