Answer:
[tex]y=\frac{7}{4}x+3[/tex]
Step-by-step explanation:
Slope-intercept form:
[tex]y=mx+b[/tex]
There are 4 variables here:
- x, y = any point on the line
- m = slope of the line
- b = y intercept of the line
And in your question, 3 of the variables are already given:
Just plug in all the known variables and solve for b:
[tex]y=mx+b\\-4=\frac{7}{4}(-4)+b\\-4=-7+b\\b=3[/tex]
Now, with both the slope and the y-intercept, you can write the equation:
[tex]y=\frac{7}{4}x+3[/tex]
