Given:
Passing through (-8,3)
slope = 3/4
Asked: Find the equation of the line in slope-intercept form.
Solution:
To find the equation, we need to know first the slope-intercept form formula.
Slope-Intercept Form:
[tex]y=mx+b[/tex]
where:
m = slope
b = y - intercept
Since we are given the slope, we will put it in the formula.
[tex]\begin{gathered} y=mx+b \\ y=\frac{3}{4}x+b \end{gathered}[/tex]
Now, to find the y-intercept, b, we will substitute the given coordinates to find the value of b.
[tex]\begin{gathered} (-8,3) \\ y=\frac{3}{4}x+b \\ 3=\frac{3}{4}(-8)+b \\ 3=\frac{-24}{4}+b \\ 3=-6+b \\ b=3+6 \\ b=9 \end{gathered}[/tex]
Now, we will have the equation in slope-intercept form.
[tex]y=\frac{3}{4}x+9^{}[/tex]
ANSWER: y = 3/4x + 9
