Step-by-step explanation:
1. The y-intercept is the value for y when x = 0.
When x = 0, y equals 7.
Represented as:
(0, 7)
2. How to find the Slope?
Find 2 points on the graph then use the slope formula.
[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]
m = slope
2 points:
(0, 7)
(2, 3)
Substitute the points into the formula:
[tex] \frac{3}{2} - \frac{7}{0} = m[/tex]
Subtract:
[tex] \frac{ - 4}{2} = m[/tex]
[tex] \frac{ - 4}{2} = m[/tex]Simplify:
[tex] \frac{ - 4 \div 2}{2 \div 2} = - \frac{2}{1} [/tex]
The slope is -2.
Forming an equation:
Use the slope-intercept format.
[tex]y = mx + b[/tex]
m = slope
b = y-intercept
Substitute 7 for b, and -2 for m.
[tex]y = - 2x + 7[/tex]
