Answer:
[tex]y = -\frac{3}{7}x + 3[/tex]
Step-by-step explanation:
In order to find the equation of a line, we need to first find the slope. Slope is represented by the formula:
[tex]\frac{y_{2}-y_{1} }{x_{2} - x_{1} }[/tex]
where (x1, y1) and (x2, y2) are point on the line. In this case, we can use the points (0, 3) and (7, 0):
[tex]\frac{0-3}{7-0} = -\frac{3}{7}[/tex]
The point (0, 3) is the y-intercept, so given an equation in the form y = mx + b, 3 would be b and we already calculated the slope, which is m. We can plug these values in to get:
[tex]y = -\frac{3}{7}x + 3[/tex]
