What equation of a line that has a y-value that increases by 4 for every x that increases by 1 and also crosses the y-axis at -2

y = 4(x + 1) - 2

Step-by-step explanation:

" increases by 4 for every x + 1" means the slope is 4 and the value inside the parentheses with x is +1

"crosses the y-axis at -2" means the y-intercept is -2

Input those values into the formula: y = m(x) + b    where

3x3 = 9 and 2x2 = 4

step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is