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2 years ago

Find the slope of the line (4,5),(-3,-1)

Mathematics

1 answer:

koban [17]2 years ago

8 0

Step-by-step explanation:

${ \rm{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\$

• y2 → -1

• y1 → 5

• x1 → 4

• x2 → -3

${ \tt{slope = \frac{ - 1 - 5}{ - 3 - 4} }} \\ \\ { \tt{slope = \frac{ - 6}{ - 7} }} \\ \\ { \boxed{ \tt{ \: slope = \frac{6}{7} }}}$

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The table can be used to determine the solution of equations, 2x − 2y = 6 and 4x + 4y = 28. A table with 6 columns and 2 rows. T

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The solution is (5,2)

Step-by-step explanation:

From the third column the equation for sum of equivalent system is given as;

8x = 40

divide both sides by 8 to get value of x

8x/8 = 40/8

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Using the value of x in the fifth column's first equation will be;

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3 years ago

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Figure one and figure 2 are similar quadrilaterals. Which proportion must be true?

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Step-by-step explanation:

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3 years ago

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Determine the intercepts of the line. <br> -5x-4y=10

storchak [24]

Answer:

$x-intercept:(-2,0)\\\\y-intercept:(0,-\frac{5}{2})$

Step-by-step explanation:

The y-intercept is where x is 0 (0,y)

The x-intercept is where y is 0 (x,0)

Insert 0 as the value for x to find the corresponding y value:

$-5(0)-4y=10$

Simplify multiplication:

$0-4y=10\\\\-4y=10$

Isolate the variable. Divide both sides by 4:

$\frac{-4y}{4}=\frac{10}{4} \\\\-y=\frac{10}{4} \\\\-y=\frac{5}{2}$

Make the variable positive. Multiply both sides by -1:

$-1(-y)=-1(\frac{5}{2})\\\\y=-\frac{5}{2}$

The y-intercept is at $(0,-\frac{5}{2})$ .

Insert 0 as the value for y to determine the value of x:

$-5x-4(0)=10$

Simplify multiplication:

$-5x-0=10\\\\-5x=10$

Isolate x. Divide both sides by 5:

$\frac{-5x}{5} =\frac{10}{5} \\\\-x=2$

Multiply both sides by -1:

$-1(-x)=-1(2)\\\\x=-2$

The x-intercept is at $(-2,0)$ .

:Done

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3 years ago