Answer: y=4x-10
Step 1: Write model equation
The model equation for slope- intercept form is y=mx+b
M-Slope
X-Variable
B- Y-intercept
Step 2: Slope
Since we know that m is slope, we can substitute the slope given (1/4) into the equation
y=mx+b
y=4x+b
Step 3: Y-intercept
The final thing we have to do is solve for the y-intercept, or b. We’ll do this by substituting the point into the equation and solving.
y=4x+b
*substitute point*
6=4(4)+b
*multiply 4 and 4*
6=16+b
*subtract 16 on both sides*
-10=b
Step 4: Check your answer
We will check our answer by substituting all the values into the equation and seeing if the left and right side equal each other
y=mx +b
6=4(4)-10
6=16-10
6=6
This is correct! Hope this helps comment below for more questions :)