Question

Which equation is graphed in the figure?

a. y= 7/5x + 2
b. y= -5/7x+14
c. y= 5/7x+14
d. y= -7/5x+10

Answer 1

a. y=7/5x+2

Explanation:

when trying to figure the answer to the question we have to consider whether the gradient is positive or negative and its y intercept

lines that slope from the top right to bottom left have a positive gradient and those that slope from the top left to bottom right have a negative gradient

remember the format for line equations is y=mx+c

m being the gradient and c being the y-intercept [where the line crosses the y axis]

looking at the slope of the line it has a positive gradient so b and d are not possible answers

now we have to look at the graph to find out the y-intercept

using the scale of 1 box is equivalent to i unit we find out it crosses the y-axis at (0,2) making the y intercept 2 eliminating c from being a possible answer making a the right answer

Answer 2

so the answer would be A. 7/5x +2

if you try graphing all the other equations it would be either over the picture or just not in the right place.