3 years ago

Write an equation in slope-intercept form for the line that has a slope of -4/5 and passes through (5, 10)

1 answer:

3 0

Let m = slope = -4/5
P(x,y) = P(5,10)

Slope-intercept form for the equation of a line:
y=mx+c

Plug m= -4/5 into the slope-intercept formula
y = -4/5x + c

Plug P(5,10) into point-slope formula
y = -4/5x + c
10 = -4/5(5) + c
10 = -4 + c
substract -4 from both sides,
10 - (-4) = -4 - (-4) + c
14 = c

So, the equation is y = -4/5x + 14

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Read 2 more answers

If TSP and PSW are supplementary, and TSP is two times as large as mPSW, what is mTSP?

Burka [1]

Answer:

$\huge\boxed{120 \textdegree}$

Step-by-step explanation:

In order to solve for m∠TSP, we can use basic angle relationships and equations.

Let’s assume m∠PSW is $x$ °

We know that if two angles are supplementary, their angle lengths will add to 180°.

We also know that m∠TSP is twice as large as PSW. Since PSW is represented as x°, TSP will be 2x°.

We can add these two angles together and get 180°. Then you can solve for x (PSW)

$x+2x=180$
$3x=180$
$x=60$

So we know that x (PSW) is 60°. However, the question asks for the measure of TSP. We know that TSP is twice as large as PSW, so we can multiply PSW (60) by 2.

$60 \cdot 2 = 120$