Answer :
The equation of the line that passes through (5, 7.5) and has a y intercept of 10 is y = -0.5x + 10
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Since the y-intercept is 10, hence the line passes through (0, 10). It also passes through (5, 7.5). Hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{7.5-10}{5-0}(x-0) \\\\y=-0.5x+10[/tex]
The equation of the line that passes through (5, 7.5) and has a y intercept of 10 is y = -0.5x + 10
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