Question

Give the slope and​ y-intercept of the line whose equation is given below. Then graph the linear function. y equals -7x + 5

The slope of the line is -7? ​(Simplify your​ answer.)

The​ y-intercept is 5? ​(Type an integer or a simplified​ fraction.)

Use the graphing tool to graph the linear equation. Use the slope and​ y-intercept when drawing the line.

Please help verify, I don't understand the calculation to graph the linear function?

Answer 1

Slope and intercept are correctly identified.

To draw the line, use the coordinates point system.

(A) When x = 0, we get y = -7*0 + 5

y = 0 + 5 = 5

So, First point is (0,5)

(B) When x = 1, we get y = -7*1 + 5

y = -7 + 5 = -2

So, second point is (1,-2)

(C) When x = -1, we get y = -7*(-1) + 5

y = 7 + 5 = 12

So, third point is (-1,12)

hence, we need to make a line passing through the coordinate points (0,5), (1,-2) and (-1,12)