Answer & Step-by-step explanation:
First, we know what the formula is for y-intercept slope form.
[tex]y=mx+b[/tex]
Since, we have coordinate points and the slope, then we can use these numbers to find the y-intercept, b.
[tex]7=4(-3)+b[/tex]
[tex]7=-12+b[/tex]
[tex]19=b[/tex]
So, the equation of the line that passes through (-3, 7) with a slope of 4 is..
y = 4x + 19