9514 1404 393
Answer:
y = 4x +3
Explanation:
The slope formula can be used to find the slope:
m = (y2 -y1)/(x2 -x1)
Using the first two lines of the table, we find the slope to be ...
m = (11 -7)/(2 -1) = 4/1 = 4
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The y-intercept can be found from the relation ...
b = y -mx
Using the slope we found, and the first line of the table, we find the intercept to be ...
b = 7 -4(1) = 3
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Then the equation is ...
y = mx +b . . . . . . slope-intercept form of the equation for a line
y = 4x +3