Question

Tara is graphing the equation 4x + 2y = 10. Which of these shows the correct equation in slope-intercept form, slope, and y-intercept?

Question 2 options:

y = –2x + 5

slope = –2

y-intercept = 5


y = 2x + 4

slope = 2

y-intercept = 4


y = –4x + 5

slope = –4

y-intercept = 5


y = 4x + 5

slope = 4

y-intercept = 5

Answer 1

y=-2x+5, slope= -2, y-intercept= 5 (so, first option)

Explanation:

y=mx+b. m is the slope, and b is the y-intercept. to get the equation to the slope intercept form, you get y by itself- subtract 4x from both sides and then divide by 2 on both sides.

Answer 2

Answer: y = -2x + 5

Explanation:

y = -2x + 5

slope = -2

Slope intercept form of equation of line is given by y = mx + c

where m is the slope of line

c is the y intercept i.e point where given line intersect y axis.

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given equation 4x + 2y = 10

we have to re-write this equation in form y = mx + c

4x + 2y = 10

subtraction 4x from LHS and RHS

4x + 2y - 4x= 10 - 4x

2y = 10- 4x

we have to eliminate 2 from y for that we

divide LHS and RHS by 2 we

2y /2 = 10/2- 4x/2

y = 5 - 2x

rearranging it in y = mx+c form

y = -2x + 5

thus, m = -2 , c = 5