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a line has a slope of 4 and passes through the point (5, 10). what is its equation in
slope-intercept form?
write your answer using integers, proper fractions, and improper fractions in simplest form.
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y = 4x - 10 is the equation of line with slope of 4 and passes through the point (5, 10)

Solution:

A line has a slope of 4 and passes through the point (5, 10)

The equation of line in slope intercept form is given as:

y = mx + c eqn 1

Where, "m" is the slope of line and "c" is the y - intercept

Given that,  Slope = m = 4

The line passes thorugh (5, 10)

Substitute m = 4 and (x, y) = (5, 10) in eqn 1

10 = 4(5) + c

10 = 20 + c

c = -10

Substitute c = -10 and m = 4 in eqn 1

y = 4x - 10

Thus the equation of line in slope intercept form is found