HELP ME PLEASE. WORK SHOWN PLEASE

Mathematics

1 answer:

wel3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

If a line is parallel to a side of a triangle and it intersects the other 2 sides, it divides those sides proportionally,

(1)

$\frac{1}{4}$ = $\frac{1}{x}$ ( cross multiply )

x = 4

(3)

$\frac{8}{x}$ = $\frac{14}{49-14}$ , that is

$\frac{8}{x}$ = $\frac{14}{35}$ ( cross- multiply )

14x = 280 ( divide both sides by 14 )

x = 20

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A line passes through the point (–7, 5) and has a slope of 1/2. Which is another point that the line passes through?

Andrej [43]

The answer to this question is (9,13). Here's how:
First thing you need to do is find the equation. You have a coordinate point and the slope. Remember a linear equation or formula is y=mx+b (m= slope and b= y-intercept)

So let's input the slope into the equation:
y=1/2x+b or y=0.5x+b
Notice how there is no b yet? That's because you need to find it. Good thing you have the coordinate points, so replace x and y with it. ( (x,y) = ( -7, 5) )

5=0.5(-7)+b
5= -3.5+b
+3.5 +3.5
b= 8.5
The equation is now y=0.5x+8.5 and with that equation you can now input it in a calculator to find which of the following coordinate points lies on. Or you can just input those points into the calculator. Which I did because I love to show my work. I have a picture of the work included and I really do hope I helped you. If not, message me. I'll be glad you to help you!