Answer:
y = 5x - 9
Step-by-step explanation:
To write an equation in slope-intercept form, two values are needed: the y-intercept and the slope. Since we already have the slope, to find the equation of this line, we need to find the y-intercept.
To find the y-intercept, plug the point into the equation for slope-intercept, which is y = mx + b. m = slope and b = y-intercept.
6 = 5(3) + b
Now, isolate b.
Evaluating 5*3, we get 6 = 15 + b.
Subtracting 15 from both sides, we get -9 = b.
Now, plug b and m into the equation for slope-intercept form to get your final answer:
y = 5x - 9
