Mathematics, 08.07.2019 14:00 Camalama

What is the point slope form of the line with slope 2/5 that passes through the point (−4, −7) ? y+4=2/5(x+7) y+7=2/5(x+4) y−4=2/5(x−7) y−7=2/5(x−4)

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Answer from: adajadavis2843

The point slope form of the line with slope 2/5 that passes through the point (−4, −7) is; y+7=2/5(x+4)

The point slope form of the equation of a straight line is of the form;

(y - b) = m(x - a)

where:

b and a are y and x coordinates of a given point on the line.m = slope of the straight line.

By substituting the given values of slope, and the x- and y- coordinates; we then have;

(y -(-7)) = 2/5(x−(-4))y+7 = 2/5 (x+4)

Consequently, the point slope form of the line with slope 2/5 that passes through the point (−4, −7) is;y+7=2/5(x+4)

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Answer from: sarahmkey6

y + 7 = $\frac{2}{5}$ (x + 4)

the equation of a line in ' point- slope form ' is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = $\frac{2}{5}$ and (a , b ) =( - 4, - 7)

y + 7 = $\frac{2}{5}$ (x + 4) → equation in point- slope form

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

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

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

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

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

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

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

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).

$1=-0+4$

$1=4$

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 $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

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

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Answer from: Quest

where's the diagram?

step-by-step explanation:

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What is the point slope form of the line with slope 2/5 that passes through the point (−4, −7) ? y+...