Answer:
y = -1/3x + 25/3
Explanation:
Pre-Solving
We are given that a line has a slope of -1/3, and passes through the point (4,7).
We want to write the equation of this line in slope-intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y-intercept.
Solving
Since we are already given the slope, we can immediately substitute it into the formula.
Replace m in y=mx+b with -1/3.
y = -1/3x + b
Now, we need to find b.
As the equation passes through (4,7), we can use its values to help solve for b.
Substitute 4 as x and 7 as y.
7 = -1/3(4) + b
Multiply
7 = -4/3 + b
Add 4/3 to both sides
25/3 = b
Substitute 25/3 as b.
y = -1/3x + 25/3