Please help solving these questions! I’ve literally worked this for 40 mins

1) (6, 0), (0, 3)

2) -½

3) y= -½x +3

4) -½

5) 2

Step-by-step explanation:

1) x- intercept is the point at which the line passes though the x-axis.

From the graph, the x- intercept is (6, 0).

The y-intercept is the point at which the line passes through the y- axis.

From the graph, the y-intercept is (0, 3).

2) To find the slope, plug in the coordinates of any two points on the line into the gradient formula below.

I will use the 2 points that they have provided to calculate the slope.

3) The equation of a line can be written as y= mx +c, where m is the gradient and c is the y-intercept.

Since we have already found those values in the previous questions, let's substitute them into the equation.

4) Parallel lines have the same slope.

Thus, the slope of a line parallel to the line in the graph will also have a slope of -½.

5) The product of the gradients of perpendicular lines is -1.

(gradient of perpendicular line)(-½)= -1

Gradient of perpendicular line

= 2

step-by-step explanation:

idk the answer i want to say 10 but then it would be equal so try 9 but then yeah so yeah we love edgen

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.