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x + 2y - 3 = 0

Step-by-step explanation:

Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.

Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2

Slope of line perpendicular to PQ = - 1/2

Since, required line passes through point R(7, - 2) and is perpendicular to PQ.

Therefore, equation of line in point slope form is given as:

Therefore x + 2y - 3 = 0 is the required equation of line.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

8+10

step-by-step explanation:

you multiply 4 by 2 and 5 by 2