Answer: y = 2/3x + 3
Step-by-step explanation:
We will write the equation in slope intercept form (y=mx+b).
In the formula y=mx + b, m is the slope and b is the y intercept. We need the slope and y intercept numbers to write the equation. Since we know the slope we will use the given point to find the y intercept by plotting in the x and y coordinates into the formula.
1 = 2/3(-3) + b Solve for b
1= -6/3 + b
1 = -2 + b
+2 +2
b = 3
The equation will be y = 2/3x + 3
Equation of a line passing through a point (h, k) and slope 'm' will be,
y - k = m(x - h)
If this line passes through a point (-3, 1) and has a slope [tex]\frac{2}{3}[/tex].
Therefore, equation of the line will be,
[tex]y-1=\frac{2}{3}(x+3)[/tex]
[tex]y=\frac{2}{3}x+2+1[/tex]
[tex]y=\frac{2}{3}x+3[/tex]
Therefore, equation of the line will be,
[tex]y=\frac{2}{3}x+3[/tex]
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