Write an equation for the line in slope-intercept form.
(Use integers or fractions for any numbers in the
equation.)

y = 3x + 5

Step-by-step explanation:

Find the slope using two points on the line, say, (0, 5) and (-3, -4):

Slope (m) = ∆y / ∆x = (-4 - 5) / (-3 - 0) = -9/-3

m = 3

Find y-intercept (b):

y-intercept (b) is the value of y when x = 0. At this point, the line intercepts the y-axis.

When x = 0, y = 5

y-intercept (b) = 5

Write the equation by substituting m = 3 and b = 5 into y = mx + b

Thus:

y = 3x + 5

step-by-step explanation:

i am not sure sorry : c

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: