Answer:
slope: 3
y-intercept: 1
slope-intercept form equation: y = 3x + 1
Step-by-step explanation:
slope-intercept form is y = mx + b, where m = slope and b = y-intercept.
the equation you're given, 10 = 3(3) + b, is already in slope-intercept form and also already has the slope identified (it's 3!) so thankfully that's one less thing to solve for! :)
all you have to do now is solve for b.
first, multiply 3(3).
10 = 3(3) + b
10 = 9 + b
then subtract 9 from both sides of the equation. 9 and -9 cancel each other out, so the only thing you have to do for this step is subtract 9 from 10.
10 - 9 = b
1 = b <em>aka</em> b = 1
and now you have your b value!
so your slope is 3 and your y-intercept is 1.
i hope this helps! have a nice rest of your day <3
