Question

Write equation of a line in slope intercept form with the given information p=(1,2) m=4

Answer 1

Answer:

$y=4x-2$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

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

$y=4x+b$

Now, to determine the y-intercept, plug in the given point (1,2) and solve for b:

$2=4(1)+b\\2=4+b\\b=-2$

Therefore, the y-intercept is -2. Plug this back into $y=4x+b$ as b:

$y=4x+(-2)\\y=4x-2$

I hope this helps!