Answer:
[tex]y=3x+5[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
Given that the slope is 3, we can plug this into y=mx+b as m:
[tex]y=3x+b[/tex]
Now, to solve for b, simply plug in the given point:
[tex]-7=3(-4)+b\\-7=-12+b\\b=5[/tex]
Therefore, the y-intercept is 5. Plug this back into the equation:
[tex]y=3x+5[/tex]
I hope this helps!
