# Question Video: Identifying Graphs of Linear Equations in Slope-Intercept Form Mathematics • 6th Grade

Which of the following graphs represents the equation π¦ = 4 β 3π₯? [A] Graph A [B] Graph B [C] Graph C [D] Graph D [E] Graph E.

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### Video Transcript

Which of the following graphs represents the equation π¦ equals four minus three π₯?

The equation π¦ equals four minus three π₯ has a gradient or slope of negative three and a π¦-intercept of four. Graph C has a π¦-intercept of negative four and graph D has a π¦-intercept of negative three. Therefore, neither of these two graphs represent the equation π¦ equals four minus three π₯.

Graph E has a positive gradient as it slopes upwards from left to right. This means that E canβt represent the equation π¦ equals four minus three π₯. Graph B has a gradient of negative one-third. Therefore, this graph canβt represent the equation π¦ equals four minus three π₯.

Graph A does have a gradient of negative three. It also has an intercept of four. This means that graph A represents the equation π¦ equals four minus three π₯.