Please help me with this math problem. Find the equation for the line below.

y+2=3/4(x+5)

Step-by-step explanation:

The first step is to find the slope of the line. Between the two points, the line rises from a y value of -2 to a y value of 4, or a total rise of 6 units. It also goes to the right from an x value of -5 to an x value of 3, which is a total of 8 units. 6 units of rise over 8 units of run is a total slope of 6/8=3/4. Now, you can use the point slope form for either one of the points (I'll use the leftmost one).

y+2=3/4(x+5)

Hope this helps!

One answer in point slope form: y + 2 = (3/4)(x + 5)

Answer in slope intercept form: y = (3/4)x + 7/4

Answer in standard form: 3x-4y = -7

Explanation:

First we need the slope of the line

Find the slope of the line through (x1,y1) = (-5,-2) and (x2,y2) = (3,4)

m = (y2 - y1)/(x2 - x1)

m = (4 - (-2))/(3 - (-5))

m = (4 + 2)/(3 + 5)

m = 6/8

m = 3/4

Plug m = 3/4 and (x1,y1) = (-5,-2) into the point slope formula. Solve for y.

y - y1 = m(x - x1)

y - (-2) = (3/4)(x - (-5))

y + 2 = (3/4)(x + 5)

y + 2 = (3/4)x + (3/4)*5 ... distribute

y + 2 = (3/4)*x + 15/4

y + 2 - 2 = (3/4)*x + 15/4 - 2 ... subtract 2 from both sides

y = (3/4)x + 15/4 - 8/4

y = (3/4)x + (15-8)/4

y = (3/4)x + 7/4

This equation is in slope intercept form y = mx+b

m = 3/4 is the slope, b = 7/4 is the y intercept

Multiply both sides by 4 to help convert to standard form

y = (3/4)x + 7/4

4y = 3x+7

-7 = 3x-4y

3x-4y = -7

This is in the form Ax+By = C

A = 3, B = -4, C = -7

12cm

the answer is d

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.