Answer:
y=3/2x+15
Step-by-step explanation:
Hi there!
We are given that a line passes through the point (-4,9) and has a slope of 3/2
We want to write the equation of this line in slope-intercept form
Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept
Since we are given the slope of the line already (3/2), we can plug it in as m into the equation.
y=3/2x+b
Now we must solve for b
As the equation passes through the point (-4, 9), it means that the point is a solution to the equation, meaning that it will result in a true statement when you plug its values into the equation
So let's plug the -4 as x and 9 as y into the equation
9=3/2(-4)+b
Multiply
9=-6+b
Add 6 to both sides
15=b
Substitute 15 as b into the equation
y=3/2x+15
Hope this helps!
Here is a link to a similar problem if you would like more practice: brainly.com/question/25508767
