Learn with an example
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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not feeling ready yet? these can :

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

32

step-by-step explanation:

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.