Video: Identifying Graphs of Linear Equations in Slope-Intercept Form

Which of the following graphs represents the equation 𝑦 = 4 − 3𝑥? [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 𝑦 equals four minus three 𝑥?

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

Graph E has a positive gradient as it slopes upwards from left to right. This means that E can’t represent the equation 𝑦 equals four minus three 𝑥. Graph B has a gradient of negative one-third. Therefore, this graph can’t represent the equation 𝑦 equals four minus three 𝑥.

Graph A does have a gradient of negative three. It also has an intercept of four. This means that graph A represents the equation 𝑦 equals four minus three 𝑥.

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